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The Remodeling Conjecture and the Faber–Pandharipande Formula

Bouchard, Vincent and Catuneanu, Andrei and Marchal, Olivier and Sułkowski, Piotr (2013) The Remodeling Conjecture and the Faber–Pandharipande Formula. Letters in Mathematical Physics, 103 (1). pp. 59-77. ISSN 0377-9017.

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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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Sułkowski, Piotr0000-0002-6176-6240
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.
Funding AgencyGrant Number
University of Alberta startup grantUNSPECIFIED
NSERC Undergraduate Student Research AwardUNSPECIFIED
Department of Energy (DOE)DE-FG03-92ER40701FG-02
European Commission Marie-Curie International Outgoing Fellowship ProgrammeUNSPECIFIED
Subject Keywords:mirror symmetry, Gromov–Witten invariants, Eynard–Orantin topological recursion, remodeling conjecture, Hodge integrals, matrix models
Issue or Number:1
Classification Code:Mathematics Subject Classification (2010): 14N35, 14J33, 14J81
Record Number:CaltechAUTHORS:20130201-152512421
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:36747
Deposited By: Tony Diaz
Deposited On:05 Feb 2013 23:10
Last Modified:11 Feb 2020 19:20

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