Equivariant structure constants for ordinary and weighted projective space
| dc.creator | Tymoczko, Julianna S. | |
| dc.date | 2008-06-22 | |
| dc.date.accessioned | 2026-07-07T09:46:06Z | |
| dc.date.available | 2026-07-07T09:46:06Z | |
| dc.description | We compute the integral torus-equivariant cohomology ring for weighted projective space for two different torus actions by embedding the cohomology in a sum of polynomial rings $\oplus_{i=0}^n \Z[t_1, t_2,..., t_n]$. One torus action gives a result complementing that of Bahri, Franz, and Ray. For the other torus action, each basis class for weighted projective space is a multiple of the basis class for ordinary projective space; we identify each multiple explicitly. We also give a simple formula for the structure constants of the equivariant cohomology ring of ordinary projective space in terms of the basis of Schubert classes, as a sequence of divided difference operators applied to a specific polynomial. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0806.3588 | |
| dc.identifier | http://arxiv.org/abs/0806.3588 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163415 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Combinatorics | |
| dc.subject | 55N91, 05E15 (Primary); 14M15 (Secondary) | |
| dc.title | Equivariant structure constants for ordinary and weighted projective space | |
| dc.type | text |