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Published January 2013 | public
Journal Article

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.

Additional Information

© 2012 Springer Science+Business Media Dordrecht. Received: 3 October 2011; Revised: 25 September 2012; Accepted: 26 September 2012. Published online: 16 October 2012. We would like to thank Renzo Cavalieri, Bertrand Eynard, Melissa Liu, Nicolas Orantin and Jian Zhou for enjoyable discussions, and the referee for valuable comments. The research of V.B. and O.M. is supported by a University of Alberta startup grant and an NSERC Discovery grant. The research of A.C. is supported by an NSERC Undergraduate Student Research Award. The research of P.S. is supported by the DOE grant DE-FG03-92ER40701FG-02 and the European Commission under the Marie-Curie International Outgoing Fellowship Programme.

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023