Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Kontsevich, M."'
We discuss the Hodge theory of algebraic non-commutative spaces and analyze how this theory interacts with the Calabi-Yau condition and with mirror symmetry. We develop an abstract theory of non-commutative Hodge structures, investigate existence and
Externí odkaz:
http://arxiv.org/abs/0806.0107
Autor:
Kontsevich, M., Zorich, A.
Publikováno v:
Inventiones mathematicae, volume 153 (2003), 631-678
Consider the moduli space of pairs (C,w) where C is a smooth compact complex curve of a given genus and w is a holomorphic 1-form on C with a given list of multiplicities of zeroes. We describe connected components of this space. This classification
Externí odkaz:
http://arxiv.org/abs/math/0201292
Autor:
Kontsevich, M.
Publikováno v:
Lett.Math.Phys.56:271-294,2006
The paper is devoted to peculiarities of the deformation quantization in the algebro-geometric context. A direct application of the formality theorem to an algebraic Poisson manifold gives a canonical sheaf of categories deforming coherent sheaves. T
Externí odkaz:
http://arxiv.org/abs/math/0106006
Autor:
Kontsevich, M.
We show that recently constructed invariants of 3-dimensional manifolds and of hyperkaehler manifolds (L.Rozansky and E.Witten, hep-th/9612216) come from characteristic classes of foliations and from Gelfand-Fuks cohomology. In particular, any symple
Externí odkaz:
http://arxiv.org/abs/dg-ga/9704009
Autor:
Kontsevich, M., Zorich, A.
We started from computer experiments with simple one-dimensional ergodic dynamical systems called interval exchange transformations. Correlators in these systems decay as a power of time. In the simplest non-trivial case the exponent is equal to 1/3.
Externí odkaz:
http://arxiv.org/abs/hep-th/9701164
The operation of tensor product of Cohomological Field Theories (or algebras over genus zero moduli operad) introduced in an earlier paper by the authors is described in full detail, and the proof of a theorem on additive relations between strata cla
Externí odkaz:
http://arxiv.org/abs/q-alg/9502009
Publikováno v:
Int.J.Mod.Phys. A12 (1997) 1405-1430
In Batalin-Vilkovisky formalism a classical mechanical system is specified by means of a solution to the {\sl classical master equation}. Geometrically such a solution can be considered as a $QP$-manifold, i.e. a super\m equipped with an odd vector f
Externí odkaz:
http://arxiv.org/abs/hep-th/9502010
Autor:
Kontsevich, M.
This paper contains an attempt to formulate rigorously and to check predictions in enumerative geometry of curves following from Mirror Symmetry. The main tool is a new notion of stable map. We give an outline of a contsruction of Gromov-Witten invar
Externí odkaz:
http://arxiv.org/abs/hep-th/9405035
Autor:
Kontsevich, M., Manin, Yu.
Publikováno v:
Commun.Math.Phys. 164 (1994) 525-562
The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov-Witten classes, and a discussion of t
Externí odkaz:
http://arxiv.org/abs/hep-th/9402147
Publikováno v:
In Advances in Mathematics 10 September 2016 300:616-671
