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arXiv · hep-th/0511005

Prepotentials for local mirror symmetry via Calabi-Yau fourfolds

Brian Forbes·Masao Jinzenji
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Abstract

In this paper, we first derive an intrinsic definition of classical triple intersection numbers of K_S, where S is a complex toric surface, and use this to compute the extended Picard-Fuchs system of K_S of our previous paper, without making use of the instanton expansion. We then extend this formalism to local fourfolds K_X, where X is a complex 3-fold. As a result, we are able to fix the prepotential of local Calabi-Yau threefolds K_S up to polynomial terms of degree 2. We then outline methods of extending the procedure to non canonical bundle cases.

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Brian Forbes, Masao Jinzenji. 2006-03-02. Prepotentials for local mirror symmetry via Calabi-Yau fourfolds. https://doi.org/10.1088/1126-6708%2F2006%2F03%2F061

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