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- W7109699 abstract "We give two new results on Gromov‐Witten invariants of Calabi‐Yau threefolds. The first one is a computation of local Gromov‐Witten invariants of cubic surfaces at all genera. We give an explicit formula for the generating function of these invariants in a closed form. The second one is on the flop invariance of Gromov‐Witten invariants of toric Calabi‐Yau threefolds. We prove transformation formulas for generating functions of Gromov‐Witten invariants on general toric Calabi‐Yau threefolds under flops. Both results are based on the theory of the topological vertex. We present proofs of these two results together with required background on Gromov‐Witten invariants. This paper has been accepted as the author’s doctoral thesis at the Graduate School of Mathematics, Nagoya University (defended in March 2007)." @default.
- W7109699 created "2016-06-24" @default.
- W7109699 creator A5067223733 @default.
- W7109699 date "2007-03-23" @default.
- W7109699 modified "2023-10-16" @default.
- W7109699 title "Topological vertex and its applications" @default.
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