Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-07-09
Adv.Theor.Math.Phys. 4 (2000) 335-376
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, harvmac.tex; typos corrected, published version in Adv. Theor. Math. Phys. 4(2000)
Scientific paper
We propose a monodromy invariant pairing $K_{hol}(X) \otimes H_3(X^\vee,\ZZ) \to \IQ$ for a mirror pair of Calabi-Yau manifolds, $(X,X^\vee)$. This pairing is utilized implicitly in the previous calculations of the prepotentials for Gromov-Witten invariants. After identifying the pairing explicitly we interpret some hypergeometric series from the viewpoint of homological mirror symmetry due to Kontsevich. Also we consider the local mirror symmetry limit to del Pezzo surfaces in Calabi-Yau 3-folds.
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