Flop invariance of the topological vertex

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

References in corpus (3)

• Phases of $N=2$ Theories In Two Dimensions
• The Topological Vertex
• Geometric transitions, Chern-Simons gauge theory and Veneziano type amplitudes

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