The remodeling conjecture and the Faber-Pandharipande formula

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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