Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two Kähler Forms

Details Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two Kähler Forms Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two Kähler Forms

2010-06-03

arxiv.org/abs/1006.0607v4

Mathematics

Algebraic Geometry

45 pages, 2 figures, minor errors are corrected, English is refined. Section 1 and Section 2 are enlarged. Especially in Secti

Scientific paper

In this paper, we extend our geometrical derivation of expansion coefficients of mirror maps by localization computation to the case of toric manifolds with two K\"ahler forms. Especially, we take Hirzebruch surfaces F_{0}, F_{3} and Calabi-Yau hypersurface in weighted projective space P(1,1,2,2,2) as examples. We expect that our results can be easily generalized to arbitrary toric manifold.

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