In this paper, we first derive an intrinsic definition of classical triple intersection numbers of KS, where S is a complex toric surface, and use this to compute the extended Picard-Fuchs system of KS of , without making use of the instanton expansion. We then extend this formalism to local fourfolds KX, where X is a complex 3-fold. As a result, we are able to fix the prepotential of local Calabi-Yau threefolds KS up to polynomial terms of degree 2. We then outline methods of extending the procedure to non canonical bundle cases.
- Differential and Algebraic Geometry
- String Duality
- Topological Strings
ASJC Scopus subject areas
- Nuclear and High Energy Physics