Local Gromov-Witten invariants of cubic surfaces via nef toric degeneration

Abstract

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-Witten invariants.

v1:13 pages. v2: the nef condition is added in the definition of local GW invariants

References in corpus (3)

• Localizations on Moduli Spaces and Free Field Realizations of Feynman Rules
• Stokes Matrix for the Quantum Cohomology of Cubic Surfaces
• A simple proof of Gopakumar-Vafa conjecture for local toric Calabi-Yau manifolds

Cited by in corpus (1)

• Thermodynamic limit of Nekrasov partition function for 5-brane web with O5-plane