DGBV Algebras and Mirror Symmetry

Details DGBV Algebras and Mirror Symmetry DGBV Algebras and Mirror Symmetry

2000-06-17

arxiv.org/abs/math/0006123v1

Mathematics

Differential Geometry

11 pages, to appear in Proceedings of ICCM98

Scientific paper

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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