Wehrli, S (2008). A spanning tree model for Khovanov homology. Journal of Knot Theory and Its Ramifications (JKTR), 17(12):1561-1574.
We show that the Khovanov complex of a connected link diagram D retracts to a subcomplex whose generators are in 2:1 correspondence with the spanning trees of the "black graph" of D. Using this result, we give a new proof of Lee's theorem on the support of Khovanov homology of alternating knots.
We show that the Khovanov complex of a connected link diagram D retracts to a subcomplex whose generators are in 2:1 correspondence with the spanning trees of the "black graph" of D. Using this result, we give a new proof of Lee's theorem on the support of Khovanov homology of alternating knots.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Uncontrolled Keywords: | Khovanov homology, spanning trees, alternating knots |
| Language: | English |
| Date: | 2008 |
| Deposited On: | 09 Nov 2009 02:51 |
| Last Modified: | 03 Aug 2021 14:58 |
| Publisher: | World Scientific Publishing |
| ISSN: | 0218-2165 |
| Additional Information: | Electronic version of an article published as "A spanning tree model for Khovanov homology. Journal of Knot Theory and Its Ramifications (JKTR), 17(12):1561-1574" DOI: 10.1142/S0218216508006762. © copyright World Scientific Publishing Company http://www.worldscinet.com/jktr/ |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1142/S0218216508006762 |
| Related URLs: | http://arxiv.org/abs/math/0409328 |
Wehrli, S