DGBV Algebras and Mirror Symmetry
Differential Geometry
2007-05-23 v1 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0006123,
title = {DGBV Algebras and Mirror Symmetry},
author = {Huai-Dong Cao and Jian Zhou},
journal= {arXiv preprint arXiv:math/0006123},
year = {2007}
}
Comments
11 pages, to appear in Proceedings of ICCM98