Hurwitz numbers, matrix models and enumerative geometry
| dc.creator | Bouchard, Vincent | |
| dc.creator | Marino, Marcos | |
| dc.date | 2007-09-10 | |
| dc.date | 2008-06-08 | |
| dc.date.accessioned | 2026-07-07T12:08:56Z | |
| dc.date.available | 2026-07-07T12:08:56Z | |
| dc.description | We propose a new, conjectural recursion solution for Hurwitz numbers at all genera. This conjecture is based on recent progress in solving type B topological string theory on the mirrors of toric Calabi-Yau manifolds, which we briefly review to provide some background for our conjecture. We show in particular how this B-model solution, combined with mirror symmetry for the one-leg, framed topological vertex, leads to a recursion relation for Hodge integrals with three Hodge class insertions. Our conjecture in Hurwitz theory follows from this recursion for the framed vertex in the limit of infinite framing. | |
| dc.description | 21 pages, 5 figures, small corrections, references added | |
| dc.identifier | https://arxiv.org/abs/0709.1458 | |
| dc.identifier | http://arxiv.org/abs/0709.1458 | |
| dc.identifier | In: From Hodge Theory to Integrability and tQFT: tt*-geometry, Proceedings of Symposia in Pure Mathematics, AMS (2008) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209461 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 81T30; 57M27; 14N35 | |
| dc.title | Hurwitz numbers, matrix models and enumerative geometry | |
| dc.type | text |