The cohomology ring of free loop spaces
| dc.creator | Menichi, Luc | |
| dc.date | 2000-09-18 | |
| dc.date.accessioned | 2026-07-07T04:37:27Z | |
| dc.date.available | 2026-07-07T04:37:27Z | |
| dc.description | Let X be a simply connected space and k a commutative ring. Goodwillie, Burghelea and Fiedorowiscz proved that the Hochschild cohomology of the singular chains on the pointed loop space HH^{*}S_*(ΩX) is isomorphic to the free loop space cohomology H^{*}(X^{S^{1}}). We proved that this isomorphism is compatible with both the cup product on HH^{*}S_*(ΩX) and on H^{*}(X^{S^{1}}). In particular, we explicit the algebra H^{*}(X^{S^{1}}) when X is a suspended space, a complex projective space or a finite CW-complex of dimension p such that \frac {1}{(p-1)!}\in k. | |
| dc.description | 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/0009168 | |
| dc.identifier | http://arxiv.org/abs/math/0009168 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59955 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P35 (primary), 16E40 (secondary) | |
| dc.title | The cohomology ring of free loop spaces | |
| dc.type | text |