Mirror Map as Generating Function of Intersection Numbers

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 36))

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Abstract

In this article, we review our recent results on geometrical reconstruction of the B-model data used in the mirror computation of projective hypersurfaces, which was presented in **zenji (Lett. Math. Phys. 86(2–3):99–114, 2008; Mirror map as generating function of intersection numbers: Toric manifolds with two Kähler forms. Preprint, ar**v:1006.0607).

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Notes

  1. 1.

    In (7), we need to use formally w k − 1(x) to determine \(\tilde{L}_{k-1}^{k,k}({e}^{x})\) though it is not a solution of (5).

References

  1. **zenji, M.: Gauss-Manin system and the virtual structure constants. Int. J. Math. 13, 445–478 (2002)

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  2. **zenji, M.: Coordinate change of Gauss-Manin system and generalized mirror transformation. Int. J. Modern Phys. A 20(10), 2131–2156 (2005)

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  3. **zenji, M.: Virtual structure constants as intersection numbers of moduli space of polynomial maps with two marked points. Lett. Math. Phys. 86(2–3), 99–114 (2008)

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  4. **zenji, M.: Mirror map as generating function of intersection numbers: Toric manifolds with two Kähler forms. Preprint, ar**v:1006.0607

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Correspondence to Masao **zenji .

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**zenji, M. (2013). Mirror Map as Generating Function of Intersection Numbers. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 36. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54270-4_12

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