The Karoubi envelope and Lee's degeneration of Khovanov homology
| dc.creator | Bar-Natan, Dror | |
| dc.creator | Morrison, Scott | |
| dc.date | 2006-06-21 | |
| dc.date | 2009-04-27 | |
| dc.date.accessioned | 2026-07-07T13:08:32Z | |
| dc.date.available | 2026-07-07T13:08:32Z | |
| dc.description | We give a simple proof of Lee's result from [Adv. Math. 179 (2005) 554-586; arXiv:math.GT/0210213], that the dimension of the Lee variant of the Khovanov homology of a c-component link is 2^c, regardless of the number of crossings. Our method of proof is entirely local and hence we can state a Lee-type theorem for tangles as well as for knots and links. Our main tool is the "Karoubi envelope of the cobordism category", a certain enlargement of the cobordism category which is mild enough so that no information is lost yet strong enough to allow for some simplifications that are otherwise unavailable. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 4 October 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0606542 | |
| dc.identifier | http://arxiv.org/abs/math/0606542 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 1459-1469 | |
| dc.identifier | doi:10.2140/agt.2006.6.1459 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228449 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25, 18E05, 57M27 | |
| dc.title | The Karoubi envelope and Lee's degeneration of Khovanov homology | |
| dc.type | text |