Flop invariance of the topological vertex

Details Flop invariance of the topological vertex Flop invariance of the topological vertex

2006-01-14

arxiv.org/abs/math/0601352v2

Int.J.Math.19:27-45,2008

Mathematics

Algebraic Geometry

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

Scientific paper

10.1142/S0129167X08004546

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.

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