The remodeling conjecture and the Faber-Pandharipande formula
Vincent Bouchard, Andrei Catuneanu, Olivier Marchal, Piotr, Su{\l}kowski
TL;DR
This paper proves that the free energies derived from topological recursion on the mirror curve of C^3 match the Faber-Pandharipande formula, confirming the remodeling conjecture for this case.
Contribution
It completes the proof of the remodeling conjecture for C^3 by showing the equivalence of free energies and Gromov-Witten invariants.
Findings
Free energies from topological recursion reproduce Gromov-Witten invariants for C^3.
Confirmation of the remodeling conjecture for C^3.
Establishment of the link between mirror symmetry and Gromov-Witten theory.
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.
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