Generating Functions for Hurwitz-Hodge Integrals
| dc.creator | Cavalieri, Renzo | |
| dc.date | 2006-08-23 | |
| dc.date.accessioned | 2026-07-07T07:22:06Z | |
| dc.date.available | 2026-07-07T07:22:06Z | |
| dc.description | In this paper we describe explicit generating functions for a large class of Hurwitz-Hodge integrals. These are integrals of tautological classes on moduli spaces of admissible covers, a (stackily) smooth compactification of the Hurwitz schemes. Admissible covers and their tautological classes are interesting mathematical objects on their own, but recently they have proved to be a useful tool for the study of the tautological ring of the moduli space of curves, and the orbifold Gromov-Witten theory of DM stacks. Our main tool is Atiyah-Bott localization: its underlying philosophy is to translate an interesting geometric problem into a purely combinatorial one. | |
| dc.description | 17 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0608590 | |
| dc.identifier | http://arxiv.org/abs/math/0608590 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115537 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N35 | |
| dc.title | Generating Functions for Hurwitz-Hodge Integrals | |
| dc.type | text |