arXiv Analytics

Sign in

arXiv:math/0601352 [math.AG]AbstractReferencesReviewsResources

Flop invariance of the topological vertex

Yukiko Konishi, Satoshi Minabe

Published 2006-01-14, updated 2006-01-19Version 2

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.

Comments: v1:18 pages. v2:A comment above lemma 2.6 and remark 4.5 are added
Journal: Int.J.Math.19:27-45,2008
Categories: math.AG, hep-th
Subjects: 14N35, 05E05
Related articles: Most relevant | Search more
arXiv:math/0603019 [math.AG] (Published 2006-03-01)
The degree of the variety of rational ruled surfaces and Gromov-Witten invariants
arXiv:2408.06616 [math.AG] (Published 2024-08-13)
Gromov-Witten invariants in family and quantum cohomology
arXiv:math/0512372 [math.AG] (Published 2005-12-15, updated 2006-01-04)
Lectures on Gromov-Witten invariants of orbifolds