Operads and knot spaces
| dc.creator | Sinha, Dev | |
| dc.date | 2004-07-03 | |
| dc.date | 2007-02-23 | |
| dc.date.accessioned | 2026-07-07T07:48:10Z | |
| dc.date.available | 2026-07-07T07:48:10Z | |
| dc.description | We show that the Kontsevich operad, as an operad with multiplication, provides a model for the Taylor tower of the functor defined by taking the homotopy fiber of the inclusion of embeddings of an interval in a cube to the corresponding space of immersions. In developing the Kontsevich operad, we find an operad structure on the simplicial model for the two-sphere, in the opposite category to finite sets. Applications of our result include using machinery of McClure-Smith to produce a little two-disk action on our knot spaces. | |
| dc.description | v3. Final (published) version, incorporating referee comments. Binomial operad has been renamed choose-two operad | |
| dc.identifier | https://arxiv.org/abs/math/0407039 | |
| dc.identifier | http://arxiv.org/abs/math/0407039 | |
| dc.identifier | J. Amer. Math. Soc., 19 (2006) No 2, 461-486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124401 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Quantum Algebra | |
| dc.subject | 57Q35; 57M25; 18D50 | |
| dc.title | Operads and knot spaces | |
| dc.type | text |