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The remodeling conjecture and the Faber-Pandharipande formula

arXiv:1108.2689 · doi:10.1007/s11005-012-0588-z

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