title stringlengths 1 131 | url stringlengths 33 167 | content stringlengths 0 637k |
|---|---|---|
Alexander Campbell | https://ncatlab.org/nlab/source/Alexander+Campbell | Alexander Campbell is an Australian category theorist.
* [webpage](https://acmbl.github.io/)
## Selected writings
On [[gerbe (in nonabelian cohomology)|gerbes]] in [[nonabelian cohomology]] via [[tricategories]]:
* [[Alexander Campbell]], _A higher categorical approach to Giraud's non-abelian cohomology_, P... |
Alexander Efimov | https://ncatlab.org/nlab/source/Alexander+Efimov | [[!redirects Alexander I. Efimov]]
__Alexander I. Efimov__ is a mathematician at Steklov Mathematical Institute in Moscow and has involvement into the laboratory for algebraic geometry ([Efimov page](http://www.hse.ru/en/org/persons/26335030)) which is lead by [[Fedor Bogomolov]].
* _Cohomological Hall algebra of... |
Alexander Engel | https://ncatlab.org/nlab/source/Alexander+Engel |
* [webpage](http://www.uni-regensburg.de/mathematik/mathematik-engel/)
## Selected writings
On ([[equivariant K-theory|equivariant]]) [[KK-theory]] as the [[homotopy category of an (infinity,1)-category|homotopy category]] of a [[stable (infinity,1)-category|stable $(\infty,1)$-category]]:
* {#BunkeEngel... |
Alexander Givental | https://ncatlab.org/nlab/source/Alexander+Givental |
* [webpage](http://math.berkeley.edu/~giventh/)
## Selected writings
On [[quantum cohomology rings]]:
* [[Alexander Givental]], *A tutorial on Quantum Cohomology* [[pdf](https://math.berkeley.edu/~giventh/papers/lqc.pdf), [[Givental-QuantumCohomologyTutorial.pdf:file]]]
Introducing a [[qua... |
Alexander Gnedin | https://ncatlab.org/nlab/source/Alexander+Gnedin |
* [institute page](https://www.qmul.ac.uk/maths/profiles/gnedina.html)
* [Mathematics Genealogy page](https://www.qmul.ac.uk/maths/profiles/gnedina.html)
## Selected writings
On [[character of a linear representation|characters]] on the [[symmetric group]] depending only on [[Cayley distance]]:
* {#Gnedin... |
Alexander Goncharov | https://ncatlab.org/nlab/source/Alexander+Goncharov |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Alexander_Goncharov)
category: people |
Alexander Gorsky | https://ncatlab.org/nlab/source/Alexander+Gorsky |
* [InSpire page](https://inspirehep.net/authors/1007902)
## Selected writings
On [[Seiberg-Witten theory]] in relation to [[integrable systems]]:
* [[Alexander Gorsky]], [[Igor Krichever]], [[Andrei Marshakov]], [[Andrei Mironov]], [[Andrey Morozov]], *Integrability and Seiberg-Witten Exact Solution*, Phys.... |
Alexander Green | https://ncatlab.org/nlab/source/Alexander+Green |
* [haskellers page](https://www.haskellers.com/user/alexandersgreen)
* [github page](https://github.com/alexandersgreen)
## Selected writings
Introducing the [[quantum IO monad]]:
* [[Alexander Green]], *The Quantum IO Monad*, Nottingham (2007) [[pdf](http://drinkupthyzider.co.uk/asg/pdfs/bctcs07.... |
Alexander Grothendieck | https://ncatlab.org/nlab/source/Alexander+Grothendieck |
The European mathematician __Alexander Grothendieck__ (in French sometimes Alexandre Grothendieck), created a very influential body of work foundational for ([[algebraic geometry|algebraic]]) [[geometry]] but also for modern [[mathematics]] more generally. He is widely regarded as a singularly important figure of 20t... |
Alexander Haupt | https://ncatlab.org/nlab/source/Alexander+Haupt |
* [webpage](https://www.math.uni-hamburg.de/home/haupt/)
## Selected writings
On [[M-theory on Calabi-Yau 5-folds]] and [[supersymmetric quantum mechanics]]:
* [[Alexander Haupt]], [[Andre Lukas]], [[Kellogg Stelle]], _M-theory on Calabi-Yau Five-Folds_, JHEP 0905:069, 2009 ([arXiv:0810.2685](https://arxiv.o... |
Alexander Jahn | https://ncatlab.org/nlab/source/Alexander+Jahn |
* [Institute page](https://www.physik.fu-berlin.de/en/einrichtungen/ag/ag-eisert/people/jahn/index.html)
## Selected writings
Introducing [[Majorana dimer codes]] ([[quantum error correcting codes]] induced by [[tensor networks]] exhibiting [[holographic entanglement entropy]]):
* [[Alexander Jahn]], [[Marek... |
Alexander K. Zvonkin | https://ncatlab.org/nlab/source/Alexander+K.+Zvonkin | [website](https://www.labri.fr/perso/zvonkin/)
## Related entries
* [[embedded graph]]
* [[combinatorial map]]
* [[child's drawing]]
* [[chord diagram]]
|
Alexander Kahle | https://ncatlab.org/nlab/source/Alexander+Kahle |
* [website](http://www.uni-math.gwdg.de/kahle/)
category: people |
Alexander Karabegov | https://ncatlab.org/nlab/source/Alexander+Karabegov |
* [InSpire page](https://inspirehep.net/authors/2332229)
## Selected writings
On [[Fedosov deformation quantization]] for [[almost Kähler structures]]:
* {#KarabegovSchlichenmaier01} [[Alexander Karabegov]], [[Martin Schlichenmaier]], _Almost-Kähler deformation quantization_, Letters in Mathematical Physics... |
Alexander Kirillov | https://ncatlab.org/nlab/source/Alexander+Kirillov |
* [webpage](http://www.math.sunysb.edu/~kirillov/)
category: people |
Alexander Kupers | https://ncatlab.org/nlab/source/Alexander+Kupers | [[!redirects Sander Kupers]]
* [website](http://math.harvard.edu/~kupers/)
## Selected writings
On the [[h-principle]] and [[microflexible sheaf|microflexible sheaves]]:
* [[Alexander Kupers]], Section 2 of: *Three applications of delooping to H-principles*, Geom Dedicata **202** (2019) 103–151 ([arXiv:170... |
Alexander Kurz | https://ncatlab.org/nlab/source/Alexander+Kurz | Alexander Kurz is a Professor in the department of Computer Science at Chapman University, Orange, Southern California.. He has written extensively on the applications of [[coalgebra]] techniques in [[modal logic]].
* [Faculty Webpage](https://www.chapman.edu/engineering/about/faculty/program-faculty/alex-kurz.aspx... |
Alexander Kuznetsov | https://ncatlab.org/nlab/source/Alexander+Kuznetsov | **Alexander Kuznetsov** is a former student of [[Alexei Bondal]].
* [website](http://www.mi.ras.ru/~akuznet/)
* [[derived categories of coherent sheaves]]
* [[derived noncommutative algebraic geometry]]
category: people |
Alexander Körschgen | https://ncatlab.org/nlab/source/Alexander+K%C3%B6rschgen |
* [webpage](http://www.math.uni-bonn.de/people/alex)
## Selected writings
On [[orbispaces]] in [[global equivariant homotopy theory]]:
* {#Koerschgen16} [[Alexander Körschgen]], _A Comparison of two Models of Orbispaces_, Homology, Homotopy and Applications, vol. 20(1), 2018, pp. 329--358 ([arXiv:1612.04267]... |
Alexander L. Fetter | https://ncatlab.org/nlab/source/Alexander+L.+Fetter |
* [Wikipedia entry](https://en.wikipedia.org/wiki/Alexander_Fetter)
* [GoogleScholar page](https://scholar.google.com/citations?user=RKnDQh4AAAAJ)
## Selected writings
A textbook on [[quantum theory]]/[[quantum field theory]] of many-particle systems with application to [[condensed matter theory]]:
* [[... |
Alexander Lenz | https://ncatlab.org/nlab/source/Alexander+Lenz |
* [webpage](https://www.ippp.dur.ac.uk/profile/lenz)
* [webpage](https://www.dur.ac.uk/research/directory/staff/?mode=staff&id=10956)
## Selected writings
Experimental constraints on the existence of a [[4th generation of fermions]]:
* {#Lenz13} [[Alexander Lenz]], _Constraints on a fourth generation of f... |
Alexander Merkurjev | https://ncatlab.org/nlab/source/Alexander+Merkurjev |
* [personal page](https://www.math.ucla.edu/~merkurev/)
* [Wikipedia entry](https://en.wikipedia.org/wiki/Alexander_Merkurjev)
## Selected writings
On [[quadratic forms]]:
* [[Richard Elman]], [[Nikita Karpenko]], [[Alexander Merkurjev]], *Algebraic and Geometric Theory of Quadratic Forms*, Colloquium Pub... |
Alexander Odesskii | https://ncatlab.org/nlab/source/Alexander+Odesskii | [[!redirects A. Odesskii]]
[[!redirects Aleksandr Odesskii]]
__Alexander/Aleksandr V. Odesskii__ is a mathematical physicist.
* A. V. Odesskii, B.L. Feigin, _Sklyanin’s elliptic algebras_, Funkc. Anal. i Pril. 23 (3) (1989) 45--54
* A. V. Odesskii, _Elliptic algebras_, Uspekhi Mat. Nauk (2002) 57:6 (348) 87--122 ... |
Alexander Ostrowski | https://ncatlab.org/nlab/source/Alexander+Ostrowski |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Alexander_Ostrowski)
category: people
|
Alexander Polishchuk | https://ncatlab.org/nlab/source/Alexander+Polishchuk |
* [Webpage](http://pages.uoregon.edu/apolish/)
## Selected writings
On [[t-structures]] on [[derived categories of coherent sheaves]]:
* [[Dan Abramovich]], [[Alexander Polishchuk]], *Sheaves of t-structures and valuative criteria for stable complexes*, J. reine angew. Math. **590** (2006) 89-130 [[ar... |
Alexander Polyakov | https://ncatlab.org/nlab/source/Alexander+Polyakov |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Alexander_Markovich_Polyakov)
* [old personal page](https://phy.princeton.edu/people/alexander-polyakov) at Princeton (archived [screenshot](https://ncatlab.org/nlab/files/APolyakovOldHomepage.jpg))
> "My main interests this year [1993?] were dire... |
Alexander polynomial | https://ncatlab.org/nlab/source/Alexander+polynomial |
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#### Knot theory
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[[!include knot theory - contents]]
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#Contents#
* table of contents
{:toc}
## Idea
The *Alexander polynomial* ([Alexander 1928](#Alexander28)) is a [[polynomial]] [[knot invariant|inva... |
Alexander Popov | https://ncatlab.org/nlab/source/Alexander+Popov |
## Selected writings
A derivation of 4d [[Skyrmions]] by [[KK-compactification]] of [[D=5 Yang-Mills theory]] on a [[closed interval]], motivated by [[M5-branes]] instead of by [[D4/D8-brane intersections]] as in the [[Sakai-Sugimoto model]]:
* [[Tatiana Ivanova]], [[Olaf Lechtenfeld]], [[Alexander Popov]], _... |
Alexander Postnikov | https://ncatlab.org/nlab/source/Alexander+Postnikov | *[web](http://math.mit.edu/~apost)
category: people |
Alexander Reznikov | https://ncatlab.org/nlab/source/Alexander+Reznikov |
* [Wikipedia entry](https://de.wikipedia.org/wiki/Alexander_Resnikow)
## Selected writings
On [[secondary characteristic classes]] being [[torsion elements]]:
* [[Alexander Reznikov]], _Rationality of secondary classes_, J. Differential Geom., Volume 43, Number 3 (1996), 674-692. ([arXiv:dg-ga/9407007](htt... |
Alexander Rosenberg | https://ncatlab.org/nlab/source/Alexander+Rosenberg |
There are at least two Alexander Rosenbergs (and one [[Jonathan Rosenberg]]) in mathematics:
* algebraist Alex (Alexander) Rosenberg (1926-2007) known for [[Hochschild-Kostant-Rosenberg theorem]] and for many other articles in [[algebra]] (cf. [notices](http://www.spelman.edu/~colm/alexnotices.html))
* Alexand... |
Alexander Schenkel | https://ncatlab.org/nlab/source/Alexander+Schenkel |
* [webpage](http://www.aschenkel.eu)
## Selected writings
On construction and axiomatization of [[homotopical AQFT]] via [[homotopy theory]] and [[homotopical algebra]]:
* {#BDS} [[Marco Benini]], [[Claudio Dappiaggi]], [[Alexander Schenkel]], _Quantized Abelian principal connections on Lorentzian manifold... |
Alexander Schmeding | https://ncatlab.org/nlab/source/Alexander+Schmeding | Mathematician enjoying higher and infinite-dimensional differential geometry and its applications.
I am an associate professor at NTNU Trondheim.
Before joining NTNU, I was associate professor at Nord University in Levanger and before that at the university in Bergen. See
* [NTNU webpage](https://www.ntnu.edu/e... |
Alexander Schmidt | https://ncatlab.org/nlab/source/Alexander+Schmidt | * [Web](https://www.mathi.uni-heidelberg.de/~schmidt/)
category: people |
Alexander Strohmaier | https://ncatlab.org/nlab/source/Alexander+Strohmaier |
* [personal page](http://www1.maths.leeds.ac.uk/~pmtast/)
* [Institute page](https://eps.leeds.ac.uk/maths/staff/4080/professor-alexander-strohmaier)
## Selected writings
Generalization of the [[time tube theorem]] to [[AQFT on curved spacetimes|AQFT on curved]] but [[real analytic space|real analytic]] [[sp... |
Alexander Varchenko | https://ncatlab.org/nlab/source/Alexander+Varchenko | __Alexander Varchenko__ is a mathematician at the University of North Carolina at Chapel Hill; he was a student of [[Vladimir Arnold]]. His work is at the boundary of geometry, special functions, combinatorics, representation theory and mathematical physics.
* [list](http://www.math.unc.edu/Faculty/av/complete.htm)... |
Alexander Verbovetsky | https://ncatlab.org/nlab/source/Alexander+Verbovetsky |
* [webpage](http://diffiety.ac.ru/curvita/ver.htm)
## related $n$Lab entries
* [[diffiety]]
* [[variational bicomplex]]
* [[differential operator]]
* [[jet bundle]]
category: people
|
Alexander Vilenkin | https://ncatlab.org/nlab/source/Alexander+Vilenkin |
* [webpage](http://www.phy.tufts.edu/vilenkin.html)
* [Wikipedia entry](http://en.wikipedia.org/wiki/Alexander_Vilenkin)
## Selected writings
On [[cosmic strings]], [[domain walls]], [[magnetic monopoles]], etc.:
* {#VilenkinShellard94} [[Alexander Vilenkin]], E. P. S. Shellard, *Cosmic strings and other ... |
Alexander Voronov | https://ncatlab.org/nlab/source/Alexander+Voronov |
* [website](http://www.math.umn.edu/~voronov/)
## Selected writings
* [[Murray Gerstenhaber]], [[Alexander Voronov]], _Homotopy G-algebras and moduli space operad_, Internat. Math. Research Notices (1995) 141-153 ([arXiv:hep-th/9409063](https://arxiv.org/abs/hep-th/9409063))
On [[string topology]]:
* [[Ra... |
Alexander Westphal | https://ncatlab.org/nlab/source/Alexander+Westphal |
* [webpage](http://www.desy.de/~westphal/)
## related $n$Lab entries
* [[moduli stabilization]]
category: people |
Alexander Zamolodchikov | https://ncatlab.org/nlab/source/Alexander+Zamolodchikov |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Alexander_Zamolodchikov)
## Selected writings
Introducing [[2d CFT|2d]] [[conformal field theory]]:
* [[Alexander Belavin]], [[Alexander Polyakov]], [[Alexander Zamolodchikov]], _Infinite conformal symmetry in two–dimensional quantum field theory_, Nuclear Phy... |
Alexander's trick | https://ncatlab.org/nlab/source/Alexander%27s+trick |
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###Context###
#### Topology
+--{: .hide}
[[!include topology - contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Statement
Consider the [[mapping space]] of those [[homeomorphisms]] from the [[closed ball]] $D^{n+1}$ to its... |
Alexander-Whitney map | https://ncatlab.org/nlab/source/Alexander-Whitney+map |
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###Context###
#### Homological algebra
+--{: .hide}
[[!include homological algebra - contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Definition
Let $C : sAb \to Ch_\bullet^+$ be the chains/[[Moore complex]] functor of the... |
Alexander-Čech duality | https://ncatlab.org/nlab/source/Alexander-%C4%8Cech+duality |
## Idea
Let $X$ be a [[finite homotopy type|finite]] [[CW complex]]
and $X \subseteq S^{n+1}$. Then there is a map
$$ X \times (S^{n+1}\backslash X) \to S^n,\,\,\,\,\,\, (x,y) \mapsto \frac{x-y}{\|x - y\|}.$$
This element determines an element
$$\delta \in H^n( X \times (S^{n+1}\backslash X)).$$
In [[to... |
Alexandr S. Mishchenko | https://ncatlab.org/nlab/source/Alexandr+S.+Mishchenko |
* [personal page](http://mech.math.msu.su/~asmish/)
* [MathNet page](https://www.mathnet.ru/eng/person8599)
* [Wikipedia entry](https://en.wikipedia.org/wiki/Alexandr_Mishchenko)
## Selected writings
On [[vector bundles]]:
* [[Glenys Luke]], [[Alexandr S. Mishchenko]], *Vector bundles and their appli... |
Alexandre Deur | https://ncatlab.org/nlab/source/Alexandre+Deur |
* [spire page](https://inspirehep.net/authors/1049232)
## Selected writings
On the [[running coupling constant]] in [[QCD]]:
* [[Alexandre Deur]], [[Stanley Brodsky]], [[Guy de Teramond]], *The QCD Running Coupling*, Prog. Part. Nuc. Phys. 90 1 (2016) ([arXiv:1604.08082](https://arxiv.org/abs/1604.08082), [d... |
Alexandre Kirillov | https://ncatlab.org/nlab/source/Alexandre+Kirillov | **Alexandre Aleksandrovich Kirillov** (Александр Александрович Кириллов) is a professor of mathematics at the University of Pennsylvania. He... |
Alexandre Miquel | https://ncatlab.org/nlab/source/Alexandre+Miquel |
* [webpage](http://perso.ens-lyon.fr/alexandre.miquel/)
category: people
|
Alexandre Vinogradov | https://ncatlab.org/nlab/source/Alexandre+Vinogradov | [[!redirects Alexander Vinogradov]]
Alexander M. Vinogradov was a Russian mathematician working in the geometric theory of [[differential equations]], the theory of [[diffieties]] with applications to [[variational calculus]].
* [webpage](https://web.archive.org/web/20180914224323/http://diffiety.ac.ru/curvita/amv.... |
Alexandros Anastasiou | https://ncatlab.org/nlab/source/Alexandros+Anastasiou |
* [GoogleScholar page](https://scholar.google.se/citations?user=02U4jccAAAAJ)
## Selected writings
On [[Freudenthal magic square|magic squares]] of [[magic supergravities]] and [[U-duality]] via the [[classical double copy]]:
* {#ABDHN} [[Alexandros Anastasiou]], [[Leron Borsten]], [[Michael Duff]], [[Mia... |
Alexandrov space | https://ncatlab.org/nlab/source/Alexandrov+space |
# Alexandrov spaces
* table of contents
{: toc}
## Idea
Alexandrov spaces are certain spaces that arise in [[differential geometry]], named after [[Alexander Alexandrov]]. They should not be confused with [[Alexandroff spaces]], which arise in [[general topology]] and are named after [[Paul Alexandroff]].
## Refe... |
Alexandru Buium | https://ncatlab.org/nlab/source/Alexandru+Buium |
* [webpage](http://www.math.unm.edu/~buium/)
###Related entries
* [[arithmetic differential geometry]]
category: people
|
Alexandru Chirvasitu | https://ncatlab.org/nlab/source/Alexandru+Chirvasitu |
* [webpage](http://math.berkeley.edu/~calex/)
category: people
|
Alexandru Dimca | https://ncatlab.org/nlab/source/Alexandru+Dimca |
* [personal page](https://math.unice.fr/~dimca/)
* [Wikipedia entry](https://math.unice.fr/~dimca/)
## Selected writings
On ([[abelian sheaf|abelian]]) [[sheaf theory]] in [[topology]], with a focus on [[constructible sheaves]] and [[perverse sheaves]]:
* [[Alexandru Dimca]], *Sheaves in Topology*, Univer... |
Alexandru E. Stanculescu | https://ncatlab.org/nlab/source/Alexandru+E.+Stanculescu |
## Selected writings
On the [[Bousfield-Friedlander theorem]]:
* {#Stanculescu} [[Alexandru E. Stanculescu]], *Note on a theorem of Bousfield and Friedlander*, Topology and its Applications **155** 13 (2008) 1434-1438 [[arxiv:0806.4547](https://arxiv.org/abs/0806.4547), [doi:10.1016/j.topol.2008.05.0... |
Alexandru Solian | https://ncatlab.org/nlab/source/Alexandru+Solian |
## Selected writings
Early discussion of [[2-groups]] as [[Picard 2-groups]]:
* {#Solian72} [[Alexandru Solian]], *Groupe dans une catégorie*, C. R. Acad. Sc. Paris **275** (1972) [[ark:/12148/bpt6k57310477/f7](https://gallica.bnf.fr/ark:/12148/bpt6k57310477/f7.item)]
* {#Solian80} [[Alexan... |
Alexei Abrikosov | https://ncatlab.org/nlab/source/Alexei+Abrikosov |
* <a href="https://en.wikipedia.org/wiki/Alexei_Abrikosov_(physicist)">Wikiepedia entry</a>
## Selected writings
On what came to be called [[Abrikosov vortices]] ([[vortex strings]]) in [[type II superconductors]]:
* {#Abrikosov57a} [[Alexei Abrikosov]], *On the Magnetic properties of superconductors of th... |
Alexei Bondal | https://ncatlab.org/nlab/source/Alexei+Bondal | __Alexei Bondal__ (Алексей Игоревич Бондал, spellings also Aleksei, Alexey etc.) is a mathematician at the Steklov Institute of Russian Academy of Sciences (and at Aberdeen). He has pioneered wi... |
Alexei Davydov | https://ncatlab.org/nlab/source/Alexei+Davydov |
* [website](https://www.ohio.edu/cas/davydov)
## Selected writings
{#SelectedWritings}
On [[magmoidal categories]]:
* [[Alexei Davydov]], _Nuclei of categories with tensor products_, Theory and Applications of Categories, Vol. 18, 2007, No. 16, pp 440-472 ([tac:18-16](http://www.tac.mta.ca/tac/volumes/18/1... |
Alexei Kitaev | https://ncatlab.org/nlab/source/Alexei+Kitaev |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Alexei_Kitaev)
## Selected writings
On [[quantum computation]] and [[quantum error correction]] (and stating the [[Solovay-Kitaev theorem]]):
* [[Alexei Kitaev]], *Quantum computations: algorithms and error correction*, Russian Mathematical Surveys, **52** 6 ... |
Alexei Kovalev | https://ncatlab.org/nlab/source/Alexei+Kovalev |
* [webpage](https://www.dpmms.cam.ac.uk/~agk22/)
## selected writings
* {#Kovalev03} [[Alexei Kovalev]], _Twisted connected sums and special Riemannian holonomy_, J. Reine Angew. Math. 565 (2003), 125--160 ([arXiv:math/0012189](https://arxiv.org/abs/math/0012189))
(on [[compact twisted connected sum G2-man... |
Alexei M. Tsvelik | https://ncatlab.org/nlab/source/Alexei+M.+Tsvelik |
* [GoogleScholar page](https://scholar.google.com/citations?user=Q-A96cUAAAAJ&hl=en)
* [institute page](https://www.bnl.gov/staff/atsvelik)
## Selected writings
An [[integrable model]] for [[cyclic group|$\mathbb{Z}_N$]]-[[parafermion]] [[topological order]]:
* {#Tsvelik14a} [[Alexei M. Tsvelik]], *An int... |
Alexei Morozov | https://ncatlab.org/nlab/source/Alexei+Morozov |
* [Wikipedia entry](https://en.m.wikipedia.org/wiki/Alexey_Morozov)
* [iip page](https://www.iip.ufrn.br/eventslecturer?inf===gTEVFe)
* [InSpire page](https://inspirehep.net/authors/996770)
## Selected writings
On [[string theory]]:
* [[Alexei Morozov]], *String theory: what is it?*, Sov. Phys. Usp. **... |
Alexei Nurmagambetov | https://ncatlab.org/nlab/source/Alexei+Nurmagambetov |
* [inSPIRE page](http://inspirehep.net/author/profile/A.J.Nurmagambetov.3)
## Selected writings
On the [[Green-Schwarz sigma-model]] for the [[M5-brane]]:
* {#BLNPST97} [[Igor Bandos]], [[Kurt Lechner]], [[Alexei Nurmagambetov]], [[Paolo Pasti]], [[Dmitri Sorokin]], [[Mario Tonin]], _Covariant Action for the... |
Alexei Oblomkov | https://ncatlab.org/nlab/source/Alexei+Oblomkov |
* [webpage](http://people.math.umass.edu/~oblomkov)
## Selected writings
On the [[Gromov-Witten/Donaldson-Thomas correspondence]]:
* [[Davesh Maulik]], [[Alexei Oblomkov]], [[Andrei Okounkov]], [[Rahul Pandharipande]], _Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds_ ([arXiv:0809.3976](https... |
Alexei P. Kopylov | https://ncatlab.org/nlab/source/Alexei+P.+Kopylov |
* [personal page](https://www.cs.cornell.edu/people/kopylov/)
## Selected writings
On [[affine logic]]:
* [[Alexei P. Kopylov]], *Decidability of Linear Affine Logic*, Information and Computation **164** 1 (2001) 173-198 [[doi:10.1006/inco.1999.2834](https://doi.org/10.1006/inco.1999.2834)]
... |
Alexei Pirkovskii | https://ncatlab.org/nlab/source/Alexei+Pirkovskii |
* [Institute page](https://www.hse.ru/en/staff/pirkovskii)
## Selected writings
On [[EFC-algebra|EFC-algebras]]:
* [[Alexei Pirkovskii]], *Holomorphically finitely generated algebras*, Journal of Noncommutative Geometry 9 (2015), 215–264 ([arXiv:1304.1991](https://arxiv.org/abs/1304.1991), [doi:10.4171/JNCG... |
Alexey O. Remizov | https://ncatlab.org/nlab/source/Alexey+O.+Remizov |
* [math-net entry](https://www.mathnet.ru/eng/person12248)
## Selected writings
On basic [[linear algebra]], [[representation theory]] and basic [[geometry]] ([[Euclidean spaces|Euclidean]]-, [[affine spaces|affine]]-, [[projective space|projective]]-, [[hyperbolic spaces]]):
* [[Igor R. Shafarevich]], [[Ale... |
Alexey Petrov | https://ncatlab.org/nlab/source/Alexey+Petrov |
* [webpage](http://www.physics.wayne.edu/~apetrov/Welcome.html)
* [Wikipedia entry](https://en.wikipedia.org/wiki/Alexey_A._Petrov)
## Selected writings
On [[D-meson]] [[decays]]:
* Marina Artuso, Brian Meadows, [[Alexey Petrov]], _Charm Meson Decays_, Ann. Rev. Nucl. Part. Sci.58:249-291, 2008 ([arXiv:08... |
Alexey Slinkin | https://ncatlab.org/nlab/source/Alexey+Slinkin |
* [GoogleScholar page](https://scholar.google.ru/citations?user=xeD0KksAAAAJ&hl=ru)
## Selected writings
On 1-[[twisted de Rham cohomology]] related to [[sl(2)|$\mathfrak{sl}(2)$]]-[[Verma modules]]:
* {#SlinkinVarchenko19} [[Alexey Slinkin]], [[Alexander Varchenko]], *Twisted de Rham Complex on Line and Sin... |
Alexis Hazell | https://ncatlab.org/nlab/source/Alexis+Hazell |
Assistant system administrator for the nLab.
[[!redirects AlexisHazell]] |
Alexis Toumi | https://ncatlab.org/nlab/source/Alexis+Toumi | [alexis.toumi.xyz](https://alexis.toumi.xyz)
## Selected writings
On [[DisCoPy]]:
* Giovanni de Felice, [[Alexis Toumi]], [[Bob Coecke]]. _DisCoPy: Monoidal Categories in Python_. Applied Category Theory, 2020. ([arXiv:2005.02975l](https://arxiv.org/abs/2005.02975l))
## Related entries
* [[DisCoPy]]
c... |
Alexis Virelizier | https://ncatlab.org/nlab/source/Alexis+Virelizier |
* [personal page](http://math.univ-lille1.fr/~virelizi/)
## Selected writings
On [[Hopf monads]] and [[Hopf adjunctions]]:
* [[Alain Bruguières]], [[Alexis Virelizier]], *Hopf monads*, Advances in Mathematics **215** 2 (2007) 679-733 [[doi:10.1016/j.aim.2007.04.011](https://doi.org/10.1016/j.aim.200... |
Aleš Pultr | https://ncatlab.org/nlab/source/Ale%C5%A1+Pultr | [[!redirects Aleš Pultr]]
Aleš Pultr is a professor at Charles University.
[Website](https://kam.mff.cuni.cz/~pultr/),
[university web page](https://www.mff.cuni.cz/en/faculty/organizational-structure/people?hdl=501).
## Selected writings
A textbook on [[locales]]:
* [[Jorge Picado]], [[Aleš Pultr]], _[... |
Alfred Ewing | https://ncatlab.org/nlab/source/Alfred+Ewing |
* [Wikipedia entry](http://en.wikipedia.org/wiki/A._C._Ewing)
* [Obituary](http://www.anthonyflood.com/blanshardewing.htm), Brand Blanshard
## some writings
* _Idealism: A Critical Survey_, Barnes & Noble (1974) ([PhiPapers](http://philpapers.org/rec/EWIIAC), [Review on JSTOR](http://www.jstor.org/stable/224... |
Alfred Frölicher | https://ncatlab.org/nlab/source/Alfred+Fr%C3%B6licher |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Alfred_Fr%C3%B6licher)
## Selected writings
Introducing the [[Frölicher-Nijenhuis bracket]]:
* [[Alfred Frölicher]], [[Albert Nijenhuis]], _Theory of vector-valued differential forms. Part I. Derivations in the graded ring of differential forms_, Indagatione... |
Alfred Gray | https://ncatlab.org/nlab/source/Alfred+Gray |
* <a href="https://en.wikipedia.org/wiki/Alfred_Gray_(mathematician)">Wikipedia entry</a>
## Selected writings
* [[Alfred Gray]], [_A Note on Manifolds Whose Holonomy Group is a Subgroup of Sp(n) $\cdot$ Sp(1)_](https://projecteuclid.org/euclid.mmj/1029000212), Michigan Math. J. Volume 16, Issue 2 (1969), 125-... |
Alfred Rieckers | https://ncatlab.org/nlab/source/Alfred+Rieckers |
* [personal page](https://homepages.uni-tuebingen.de/alfred.rieckers/)
* [InSpire page](https://inspirehep.net/authors/2270468)
## Selected writings
On [[continuous field of C-star algebras|continuous fields]] of [[Weyl algebras]] as [[continuous deformation quantizations]] of [[symplectic vector spaces]]:... |
Alfred Schild | https://ncatlab.org/nlab/source/Alfred+Schild |
* [Wikipedia entry](https://en.m.wikipedia.org/wiki/Alfred_Schild)
## Selected writings
Introducing [[Kerr-Schild spacetimes]]:
* [[Roy Kerr]], [[Alfred Schild]], _Some algebraically degenerate solutions of Einstein’s gravitational field equations_, Proc. Symp. Appl. Math 17, 199, 1965
category: peopl... |
Alfred Tarski | https://ncatlab.org/nlab/source/Alfred+Tarski |
* [SEP entry](https://plato.stanford.edu/entries/tarski/)
* [wikipedia entry](http://en.wikipedia.org/wiki/Alfred_Tarski)
## Selected writings
* [[Alfred Tarski]], *Introduction to Logic and to the Methodology of Deductive Sciences* Oxford University Press (1994) $[$[doi:10.2307/2180610](https://doi.org/10.... |
Alfred Whitehead | https://ncatlab.org/nlab/source/Alfred+Whitehead |
* [Wikipedia entry](http://en.wikipedia.org/wiki/Alfred_North_Whitehead)
## Selected writings
* _[[Principia Mathematica]]_ (1910) with [[Bertrand Russell]]
## Related entries
* [[assertion]]
category: people
[[!redirects Alfred North Whitehead]]
|
Alfred Young | https://ncatlab.org/nlab/source/Alfred+Young |
* [Wikipedia entry](https://en.wikipedia.org/wiki/Alfred_Young)
## Selected writings
Introducing the [[seminormal representation]] in the [[representation theory of the symmetric group]]:
* [[Alfred Young]], *On quantitative substitutional analysis VI*, Proc. London Math. Soc. (2) **31** (1931), 253-289. Rep... |
Alfréd Rényi | https://ncatlab.org/nlab/source/Alfr%C3%A9d+R%C3%A9nyi |
* [Wikipedia entry](https://en.wikipedia.org/wiki/Alfr%C3%A9d_R%C3%A9nyi)
## Selected writings
Introducing the notion of [[Rényi entropy]]:
* [[Alfréd Rényi]], *On Measures of Entropy and Information*, Berkeley Symposium on Mathematical Statistics and Probability, 1961: 547-561 (1961) ([euclid](https://proje... |
Alfsen-Shultz theorem | https://ncatlab.org/nlab/source/Alfsen-Shultz+theorem |
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Functional analysis
+--{: .hide}
[[!include functional analysis - contents]]
=--
#### Algebraic Quantum Field Theory
+--{: .hide}
[[!include AQFT and operator algebra contents]]
=--
=--
=--
#Contents#
* table of contents
... |
Alg | https://ncatlab.org/nlab/source/Alg |
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
### Context
#### Category theory
+-- {: .hide}
[[!include category theory - contents]]
=--
#### Algebra
+--{: .hide}
[[!include higher algebra - contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Idea
_Alg_ is the [[ca... |
Alg(T) > history | https://ncatlab.org/nlab/source/Alg%28T%29+%3E+history | < [[Alg(T)]]
|
algebra | https://ncatlab.org/nlab/source/algebra |
> This page is about **algebra as a theory**. If you are looking for the term **algebra as an object** see [[associative algebra]] or [[algebra over an operad]] or the like. See below for more.
***
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Higher algebra
+--{: .hide}
[[... |
algebra extension | https://ncatlab.org/nlab/source/algebra+extension |
> For extension of [[morphisms]] in the sense dual to [[lift]] see at [[extension]].
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Algebra
+--{: .hide}
[[!include higher algebra - contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Idea
Given any ... |
algebra for a profunctor | https://ncatlab.org/nlab/source/algebra+for+a+profunctor |
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
### Context
#### Category theory
+-- {: .hide}
[[!include category theory - contents]]
=--
#### Algebra
+--{: .hide}
[[!include higher algebra - contents]]
=--
=--
=--
#Contents#
* automatic table of contents goes here
{:toc}
## Idea
... |
algebra for an endofunctor | https://ncatlab.org/nlab/source/algebra+for+an+endofunctor |
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
### Context
#### Category theory
+-- {: .hide}
[[!include category theory - contents]]
=--
#### Algebra
+--{: .hide}
[[!include higher algebra - contents]]
=--
=--
=--
# Contents
* table of contents
{: toc}
## Idea
An _algebra over an ... |
algebra for an endomorphism | https://ncatlab.org/nlab/source/algebra+for+an+endomorphism | [[!redirects algebra over an endomorphism]]
## Definition
If $K$ is a [[bicategory]] and $f \colon a \to a$ is an [[endomorphism]] in $K$, then a (**left**) $f$-**algebra** or $f$-**module** is given by a 1-cell $x \colon b \to a$ together with a 2-cell $\lambda \colon f x \Rightarrow x$.
One can also define right mo... |
algebra modality | https://ncatlab.org/nlab/source/algebra+modality | +-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
#### Type theory
+-- {: .hide}
[[!include type theory - contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Idea
The notion of algebra modality is used to define [[differential categories|codifferential categories]]. However, it c... |
algebra of an endofunctor > history | https://ncatlab.org/nlab/source/algebra+of+an+endofunctor+%3E+history | < [[algebra of an endofunctor]]
[[!redirects algebra of an endofunctor -- history]] |
algebra of functions | https://ncatlab.org/nlab/source/algebra+of+functions |
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Algebra
+--{: .hide}
[[!include higher algebra - contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Definition
### Algebra of function on a set
For $R$ a [[ring]] and $S$ a [[set]], the set of [[funct... |
algebra over a Lawvere theory | https://ncatlab.org/nlab/source/algebra+over+a+Lawvere+theory |
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Categorical algebra
+--{: .hide}
[[!include categorical algebra -- contents]]
=--
#### Higher algebra
+--{: .hide}
[[!include higher algebra - contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Defini... |
algebra over a monad | https://ncatlab.org/nlab/source/algebra+over+a+monad | +-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Categorical algebra
+-- {: .hide}
[[!include categorical algebra -- contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Idea
There are different, related ways in which one could view the notion of *algebra over... |
algebra over an operad | https://ncatlab.org/nlab/source/algebra+over+an+operad |
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Categorical algebra
+-- {: .hide}
[[!include categorical algebra -- contents]]
=--
=--
=--
#Contents#
* automatic table of contents goes here
{:toc}
## Idea
An [[operad]] is a structure whose elements are _formal operati... |
algebra spectrum | https://ncatlab.org/nlab/source/algebra+spectrum |
+-- {: .rightHandSide}
+-- {: .toc .clickDown tabindex="0"}
###Context###
#### Higher algebra
+--{: .hide}
[[!include higher algebra - contents]]
=--
#### Stable Homotopy theory
+--{: .hide}
[[!include stable homotopy theory - contents]]
=--
=--
=--
#Contents#
* table of contents
{:toc}
## Idea
An _algebra spectru... |
algebrad | https://ncatlab.org/nlab/source/algebrad | The notion of **algebrad** is due to
* [[Nikolai Durov]], _Classifying vectoids and generalisations of operads_, [arxiv/1105.3114](http://arxiv.org/abs/1105.3114), the translation of "Классифицирующие век... |
algebraic analysis | https://ncatlab.org/nlab/source/algebraic+analysis | **Algebraic analysis** is a program introduced by [[Mikio Sato]] from around 1958, based on the idea that the study of differential equations should be done in a coordinate-free manner, and operations should follow general nonsense geometric and algebraic constructions. One of the first steps was the introduction of th... |
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