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DGBV Algebras and Mirror Symmetry

Huai-Dong Cao·Jian Zhou
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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.

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Huai-Dong Cao, Jian Zhou. 2000-06-17. DGBV Algebras and Mirror Symmetry. https://arxiv.org/abs/math/0006123

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