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

Masao Jinzenji

doi:10.1007/s00220-013-1786-y

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

Masao Jinzenji

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	747-811
Number of pages	65
Journal	Communications in Mathematical Physics
Volume	323
Issue number	2
DOIs	https://doi.org/10.1007/s00220-013-1786-y
Publication status	Published - Oct 2013
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-013-1786-y

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title = "Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two K{\"a}hler Forms",

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 K{\"a}hler 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.",

author = "Masao Jinzenji",

year = "2013",

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doi = "10.1007/s00220-013-1786-y",

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AB - 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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JO - Communications in Mathematical Physics

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

Abstract

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