Flop invariance of the topological vertex
arXiv:math/0601352 · doi:10.1142/S0129167X08004546
Abstract
We prove transformation formulae for generating functions of Gromov-Witten invariants on general toric Calabi-Yau threefolds under flops. Our proof is based on a combinatorial identity on the topological vertex and analysis of fans of toric Calabi-Yau threefolds.
v1:18 pages. v2:A comment above lemma 2.6 and remark 4.5 are added