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

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Abstract

In this paper, we extend our geometrical derivation of the expansion coefficients of mirror maps by localization computation to the case of toric manifolds with two Kähler forms. In particular, we consider 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 manifolds.

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Authors and Affiliations

  1. Division of Mathematics, Graduate School of Science, Hokkaido University, Kita-ku, Sapporo, 060-0810, Japan

    Masao Jinzenji

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  1. Masao Jinzenji
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Correspondence to Masao Jinzenji.

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Communicated by N. A. Nekrasov

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Jinzenji, M. Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two Kähler Forms. Commun. Math. Phys. 323, 747–811 (2013). https://doi.org/10.1007/s00220-013-1786-y

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  • DOI: https://doi.org/10.1007/s00220-013-1786-y

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