The remodeling conjecture and the Faber-Pandharipande formula

Abstract

In this note, we prove that the free energies F_g constructed from the Eynard-Orantin topological recursion applied to the curve mirror to C^3 reproduce the Faber-Pandharipande formula for genus g Gromov-Witten invariants of C^3. This completes the proof of the remodeling conjecture for C^3.

18 pages, v2: added appendix B discussing relation to matrix models

References in corpus (5)

• Open string amplitudes and large order behavior in topological string theory
• Remodeling the B-model
• All orders asymptotic expansion of large partitions
• A Matrix model for plane partitions
• Refined matrix models from BPS counting

Cited by in corpus (7)

• Think globally, compute locally
• Open Gromov-Witten Invariants of Toric Calabi-Yau 3-Folds
• A generalized topological recursion for arbitrary ramification
• q-deformations of two-dimensional Yang-Mills theory: Classification, categorification and refinement
• Painlev'e 2 equation with arbitrary monodromy parameter, topological recursion and determinantal formulas
• WKB solutions of difference equations and reconstruction by the topological recursion
• Symplectic (Non-)Invariance of the Free Energy in Topological Recursion