Identification of Two Frobenius Manifolds In Mirror Symmetry

Details Identification of Two Frobenius Manifolds In Mirror Symmetry Identification of Two Frobenius Manifolds In Mirror Symmetry

1998-05-21

arxiv.org/abs/math/9805095v2

Mathematics

Differential Geometry

12 pages, AMS LaTex

Scientific paper

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.

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