Mixed Hodge structures of configuration spaces
| dc.creator | Getzler, Ezra | |
| dc.date | 1995-11-01 | |
| dc.date | 1996-05-19 | |
| dc.date.accessioned | 2026-07-07T08:58:02Z | |
| dc.date.available | 2026-07-07T08:58:02Z | |
| dc.description | The symmetric group S_n acts freely on the configuration space of n distinct points in a quasi-projective variety. In this paper, we study the induced action of the symmetric group S_n on the de Rham cohomology of this space, using mixed Hodge theory, combined with methods from the theory of symmetric functions. (We prove a motivic version of this as well.) As an application of our results, we calculate the S_n-equivariant Hodge polynomial of the Fulton-MacPherson compactification X[n] of the configuration space. | |
| dc.description | AmSLaTeX 1.v2, 18 pages, revised version | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9510018 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9510018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147167 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F40 (Primary) 20C30 (Secondary) | |
| dc.title | Mixed Hodge structures of configuration spaces | |
| dc.type | text |