Hurwitz-Hodge Integrals, the E6 and D4 root systems, and the Crepant Resolution Conjecture
| dc.creator | Bryan, Jim | |
| dc.creator | Gholampour, Amin | |
| dc.date | 2007-08-30 | |
| dc.date.accessioned | 2026-07-07T08:26:50Z | |
| dc.date.available | 2026-07-07T08:26:50Z | |
| dc.description | Let G be the group A_4 or Z_2xZ_2. We compute the integral of λ_g on the Hurwitz locus H_G\subset M_g of curves admitting a degree 4 cover of P^1 having monodromy group G. We compute the generating functions for these integrals and write them as a trigonometric expression summed over the positive roots of the E_6 and D_4 root systems respectively. As an application, we prove the Crepant Resolution Conjecture for the orbifolds [C^3/A_4] and [C^3/(Z_2xZ_2)]. | |
| dc.identifier | https://arxiv.org/abs/0708.4244 | |
| dc.identifier | http://arxiv.org/abs/0708.4244 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137079 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10, 14N35 | |
| dc.title | Hurwitz-Hodge Integrals, the E6 and D4 root systems, and the Crepant Resolution Conjecture | |
| dc.type | text |