On mutation and Khovanov homology
| dc.creator | Champanerkar, Abhijit | |
| dc.creator | Kofman, Ilya | |
| dc.date | 2008-01-31 | |
| dc.date | 2008-08-12 | |
| dc.date.accessioned | 2026-07-07T13:06:07Z | |
| dc.date.available | 2026-07-07T13:06:07Z | |
| dc.description | It is conjectured that the Khovanov homology of a knot is invariant under mutation. In this paper, we review the spanning tree complex for Khovanov homology, and reformulate this conjecture using a matroid obtained from the Tait graph (checkerboard graph) G of a knot diagram K. The spanning trees of G provide a filtration and a spectral sequence that converges to the reduced Khovanov homology of K. We show that the E_2-term of this spectral sequence is a matroid invariant and hence invariant under mutation. | |
| dc.description | Revised and expanded with a review of the spanning tree complex. To appear in Communications in Contemporary Mathematics, special volume in memory of Xiao-Song Lin. 18 pages | |
| dc.identifier | https://arxiv.org/abs/0801.4937 | |
| dc.identifier | http://arxiv.org/abs/0801.4937 | |
| dc.identifier | Comm. Contemp. Math. 10 (2008), 973-992. (Special issue in memory of Xiao-Song Lin.) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227680 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | On mutation and Khovanov homology | |
| dc.type | text |