DGBV Algebras and Mirror Symmetry

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We describe some recent development on the theory of formal Frobenius manifolds via a construction from differential Gerstenhaber-Batalin-Vilkovisk (DGBV) algebras and formulate a version of mirror symmetry conjecture: the extended deformation problems of the complex structure and the Poisson structure are described by two DGBV algebras; mirror symmetry is interpreted in term of the invariance of the formal Frobenius manifold structures under quasi-isomorphism.
11 pages, to appear in Proceedings of ICCM98

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Differential Geometry, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/59423

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0006123
 http://arxiv.org/abs/math/0006123

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arXiv