Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two K\"ahler Forms
Algebraic Geometry
2013-09-09 v4 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.1006.0607,
title = {Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two K\"ahler Forms},
author = {Masao Jinzenji},
journal= {arXiv preprint arXiv:1006.0607},
year = {2013}
}
Comments
45 pages, 2 figures, minor errors are corrected, English is refined. Section 1 and Section 2 are enlarged. Especially in Section 2, confusion between the notion of resolution and the notion of compactification is resolved. Computation under non-zero equivariant parameters are added in Section2