Abstract |
Quasi-alternating links are a natural generalization of alternating links.
In this paper, we show that quasi-alternating links are “homologically thin” for both
Khovanov homology and knot Floer homology. In particular, their bigraded homology
groups are determined by the signature of the link, together with the Euler characteristic of the respective homology (i.e. the Jones or the Alexander polynomial). The
proofs use the exact triangles relating the homology of a link with the homologies of
its two resolutions at a crossing.
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