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Identification of Two Frobenius Manifolds In Mirror Symmetry

Differential Geometry 2007-05-23 v2 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.math/9805095,
  title  = {Identification of Two Frobenius Manifolds In Mirror Symmetry},
  author = {Huai-Dong Cao and Jian Zhou},
  journal= {arXiv preprint arXiv:math/9805095},
  year   = {2007}
}

Comments

12 pages, AMS LaTex