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

Jun, 2010
65 pages
Published in:
  • Commun.Math.Phys. 323 (2013) 747-811
  • Published: 2013
e-Print:

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Abstract: (Springer)
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.
Note:
  • 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 compactificati