Equivariant operads, string topology, and Tate cohomology
| dc.creator | Westerland, Craig | |
| dc.date | 2006-05-03 | |
| dc.date | 2007-08-01 | |
| dc.date.accessioned | 2026-07-07T08:21:35Z | |
| dc.date.available | 2026-07-07T08:21:35Z | |
| dc.description | From an operad C with an action of a group G, we construct new operads using the homotopy fixed point and orbit spectra. These new operads are shown to be equivalent when the generalized G-Tate cohomology of C is trivial. Applying this theory to the little disk operad C_2 (which is an S^1 operad) we obtain variations on Getzler's gravity operad, which we show governs the Chas-Sullivan string bracket. | |
| dc.description | 36 pages, 1 figure. Changes: main proofs and exposition streamlined, new section on continuous cohomology of operads, font changed. To appear in Math. Ann | |
| dc.identifier | https://arxiv.org/abs/math/0605080 | |
| dc.identifier | http://arxiv.org/abs/math/0605080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135366 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Geometric Topology | |
| dc.subject | 55N91, 55P43, 55P92, 55R12, 14D22, 18D50 | |
| dc.title | Equivariant operads, string topology, and Tate cohomology | |
| dc.type | text |