Khovanov homology: torsion and thickness
| dc.creator | Asaeda, Marta M. | |
| dc.creator | Przytycki, Jozef H. | |
| dc.date | 2004-02-25 | |
| dc.date | 2004-07-02 | |
| dc.date.accessioned | 2026-07-07T05:05:42Z | |
| dc.date.available | 2026-07-07T05:05:42Z | |
| dc.description | We partially solve the conjecture by A.Shumakovitch about torsion in the Khovanov homology of prime, non-split links in S^3. We give a size restriction on the Khovanov homology of almost alternating links. We relate the Khovanov homology of the connected sum of a link diagram and the Hopf link with the Khovanov homology of the diagram via a short exact sequence of homology which splits. Finally we show that our results can be adapted to reduced Khovanov homology and we show that there is a long exact sequence connecting reduced Khovanov homology with unreduced homology. | |
| dc.description | 33 pages, 26 figures, to appear in Proceedings of the Workshop, ``New Techniques in Topological Quantum Field Theory" Calgary/Kananaskis, Canada, August 2001; Ed. J.Bryden. (Property 1.5 rewritten in e-print) | |
| dc.identifier | https://arxiv.org/abs/math/0402402 | |
| dc.identifier | http://arxiv.org/abs/math/0402402 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70268 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57M25 (Primary) 57M27, 57M15 (Secondary) | |
| dc.title | Khovanov homology: torsion and thickness | |
| dc.type | text |