English

Flop invariance of the topological vertex

Algebraic Geometry 2009-08-18 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.math/0601352,
  title  = {Flop invariance of the topological vertex},
  author = {Yukiko Konishi and Satoshi Minabe},
  journal= {arXiv preprint arXiv:math/0601352},
  year   = {2009}
}

Comments

v1:18 pages. v2:A comment above lemma 2.6 and remark 4.5 are added