An sl(2) tangle homology and seamed cobordisms
| dc.creator | Caprau, Carmen | |
| dc.date | 2007-07-20 | |
| dc.date | 2007-09-10 | |
| dc.date.accessioned | 2026-07-07T08:28:06Z | |
| dc.date.available | 2026-07-07T08:28:06Z | |
| dc.description | We construct a bigraded (co)homology theory which depends on a parameter a, and whose graded Euler characteristic is the quantum sl(2) link invariant. We follow Bar-Natan's approach to tangles on one side, and Khovanov's sl(3) theory for foams on the other side. Our theory is properly functorial under tangle cobordisms, and a version of the Khovanov sl(2) invariant (or Lee's modification of it) corresponds to a=0 (or a=1). In particular, our construction naturally resolves the sign ambiguity in the functoriality of Khovanov's sl(2) homology theory. | |
| dc.description | 77 pages, many figures; changes in referencing | |
| dc.identifier | https://arxiv.org/abs/0707.3051 | |
| dc.identifier | http://arxiv.org/abs/0707.3051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137494 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M27, 57M25 | |
| dc.title | An sl(2) tangle homology and seamed cobordisms | |
| dc.type | text |