A SPANNING TREE MODEL FOR KHOVANOV HOMOLOGY
نویسندگان
چکیده
منابع مشابه
Legendrian links and the spanning tree model for Khovanov homology
The Khovanov homology has led to many interesting new developments in knot theory and related fields. See Lee [4, 5], Ng [6], Plamenevskaya [7] and Rasmussen [8] for examples. It is still very difficult to compute the Khovanov homology in general. Recently, A Champanerkar and I Kofman [2] and, independently, S Wehrli [11] constructed a spanning tree model for the Khovanov homology based on the ...
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The Jones polynomial can be expressed in terms of spanning trees of the graph obtained by checkerboard coloring a knot diagram. We show there exists a complex generated by these spanning trees whose homology is the reduced Khovanov homology. The spanning trees provide a filtration on the reduced Khovanov complex and a spectral sequence that converges to its homology. For alternating links, all ...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2008
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216508006762