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

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dc.creatorHosono, Shinobu
dc.date2004-04-06
dc.date2005-12-22
dc.date.accessioned2026-07-07T06:36:38Z
dc.date.available2026-07-07T06:36:38Z
dc.descriptionWe 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.
dc.description35 pages, AMSLatex; v2: typos corrected and minor corrections, v3: construction of cycles in Appendix A completed, v4: typos corrected, To appear in "Mirror Symmetry V", Proceedings of BIRS workshop on Calabi-Yau Varieties and Mirror Symmetry, December 6-11, 2003
dc.identifierhttps://arxiv.org/abs/hep-th/0404043
dc.identifierhttp://arxiv.org/abs/hep-th/0404043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100146
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleCentral charges, symplectic forms, and hypergeometric series in local mirror symmetry
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