Identification of Two Frobenius Manifolds In Mirror Symmetry
arXiv:math/9805095
Abstract
We identify two Frobenius manifolds obtained from two different differential Gerstenhaber-Batalin-Vilkovisky algebras on a compact Kaehler manifold. One is constructed on the Dolbeault cohomology, and the other on the de Rham cohomology. Our result can be considered as a generalization of the identification of the Dolbeault cohomology ring with the complexified de Rham cohomology ring on a Kaehler manifold.
arXiv comment12 pages, AMS LaTex
References in corpus (8)
- Deformation quantization of Poisson manifolds, I
- Mirror Manifolds And Topological Field Theory
- Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
- Mirror Principle II
- Comparison of the algebraic and the symplectic Gromov-Witten invariants
- Three constructions of Frobenius manifolds: a comparative study
- Gerstenhaber algebras and BV-algebras in Poisson geometry
- On Quantum de Rham Cohomology Theory