30 citations · 72 across the 13 of their papers we have counts for
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math.AG2006★ 2 cited
Local Gromov-Witten invariants of cubic surfaces via nef toric degeneration
Yukiko Konishi, Satoshi Minabe
We compute local Gromov-Witten invariants of cubic surfaces at all genera. We use a deformation of a cubic surface to a nef toric surface and the deformation invariance of Gromov-W…
math.AG2006★ 20 cited
Flop invariance of the topological vertex
Yukiko Konishi, Satoshi Minabe
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 iden…