Central charges, symplectic forms, and hypergeometric series in local mirror symmetry

Shinobu Hosono

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arXiv · hep-th/0404043

Central charges, symplectic forms, and hypergeometric series in local mirror symmetry

Shinobu Hosono

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Abstract

We study a cohomology-valued hypergeometric series which naturally arises in the description of (local) mirror symmetry. We identify it as a central charge formula for BPS states and study its monodromy property from the viewpoint of Kontsevich's homological mirror symmetry. In the case of local mirror symmetry, we will identify a symplectic form, and will conjecture an integral and symplectic monodromy property of a relevant hypergeometric series of Gel'fand-Kapranov-Zelevinski type.

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Shinobu Hosono. 2005-12-22. Central charges, symplectic forms, and hypergeometric series in local mirror symmetry. https://arxiv.org/abs/hep-th/0404043

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