Results 11 to 20 of about 330,939 (41)

An algebraic geometry perspective on topological data analysis [PDF]

arXiv, 2020
A short survey on applications of algebraic geometry in topological data analysis.
arxiv  

Non-commutative moduli spaces of topological D-branes

, 2005
We give a general construction of extended moduli spaces of topological D-branes as non-commutative algebraic varieties. This shows that noncommutative symplectic geometry in the sense of Kontsevich arises naturally in String ...
Alexandrov, Bocklandt, Costello, Costello, Crawley-Boevey, Drensky, Gaberdiel, Ginzburg, Ginzburg, Ginzburg, Hamilton, Herbst, Kajiura, Kontsevich, Lazaroiu, Lazaroiu, LeBruyn, Rota, Stasheff, Umirbaev, Van den Bergh, Voiculescu, Witten, Witten   +23 more
core   +3 more sources

Mirror symmetry and quantization of abelian varieties

, 2000
The paper consists of two sections. The first section provides a new definition of mirror symmetry of abelian varieties making sense also over $p$-adic fields. The second section introduces and studies quantized theta-functions with two-sided multipliers,
A Connes, A Givental, A Polishchuk, A Strominger, A Weinstein, B Greene, D Mumford, M Kontsevich, P Deligne, S Barannikov, S-T Yau, V Batyrev, Y Soibelman, Yu Manin, Yu Manin   +14 more
core   +1 more source

The second Betti number of hyperk\"ahler manifolds [PDF]

, 2015
Let $M$ be a compact irreducible hyperkahler manifold, from Bogomolov inequality [V1] we obtain forbidden values of the second Betti number $b_2$ in arbitrary dimension.
Kurnosov, Nikon
core  

An update of quantum cohomology of homogeneous varieties [PDF]

, 2014
We describe recent progress on QH(G/P) with special emphasis of our own work.Comment: 18 pages.
Changzheng Li, Leung, Naichung Conan
core  

Curve counting via stable pairs in the derived category

, 2019
For a nonsingular projective 3-fold $X$, we define integer invariants virtually enumerating pairs $(C,D)$ where $C\subset X$ is an embedded curve and $D\subset C$ is a divisor.
A. Klemm, A.-M. Li, B. Szendrői, C. Faber, D. Huybrechts, D. Joyce, D. Maulik, D. Maulik, E. Ionel, J. Bryan, J. Kollár, J. Le Potier, J. Le Potier, J. Li, J. Li, J. Li, J. Li, K. Behrend, K. Behrend, K. Behrend, M. Aganagic, M. Lieblich, P. Candelas, P.S. Aspinwall, R. P. Thomas, R. Pandharipande, R. Pandharipande, R. Pandharipande, R. Pandharipande, R.P. Thomas, S. Hosono, S. Katz, S. Katz, S.K. Donaldson, T. Bridgeland, T. Bridgeland, T. Graber, W. Lowen, Y. Toda   +38 more
core   +1 more source

Lectures notes in universal algebraic geometry [PDF]

arXiv, 2016
Lectures notes in universal algebraic geometry for ...
arxiv  

Geometry and topology of symplectic resolutions [PDF]

arXiv, 2006
This is an overview of math.AG/0310186, math.AG/0309290, math.AG/0501247, math.AG/0401002 and math.AG/0504584 written for the Proceedings of the AMS Meeting on Algebraic Geometry, Seattle, 2005.
arxiv  

Algebraic Geometry over Lie Algebras [PDF]

arXiv, 2006
This is a survey paper on Alegbraic Geometry over Lie ...
arxiv  

Rationality in Differential Algebraic Geometry [PDF]

arXiv, 2014
Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.
arxiv