English

The remodeling conjecture and the Faber-Pandharipande formula

Algebraic Geometry 2013-01-07 v2 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1108.2689,
  title  = {The remodeling conjecture and the Faber-Pandharipande formula},
  author = {Vincent Bouchard and Andrei Catuneanu and Olivier Marchal and Piotr Sułkowski},
  journal= {arXiv preprint arXiv:1108.2689},
  year   = {2013}
}

Comments

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