Abstract
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.
Original language | English (US) |
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Pages (from-to) | 1561-1574 |
Number of pages | 14 |
Journal | Journal of Knot Theory and its Ramifications |
Volume | 17 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2008 |
Externally published | Yes |
Keywords
- Alternating knots
- Khovanov homology
- Spanning trees
ASJC Scopus subject areas
- Algebra and Number Theory