Prepotentials for local mirror symmetry via Calabi-Yau fourfolds
arXiv:hep-th/0511005 · doi:10.1088/1126-6708/2006/03/061
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.
42 pages, 7 figures. Expanded, reorganized, and added a theoretical background for the calculations