26 citations · 231 across the 27 of their papers we have counts for
Showing 2008 · math.GTShow all
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math.GT2008★ 6 cited
A remark on Khovanov homology and two-fold branched covers
Liam Watson
Examples of knots and links distinguished by the total rank of their Khovanov homology but sharing the same two-fold branched cover are given. As a result, Khovanov homology does n…
math.GT2008★ 22 cited
Surgery obstructions from Khovanov homology
Liam Watson
For a 3-manifold with torus boundary admitting an appropriate involution, we show that Khovanov homology provides obstructions to certain exceptional Dehn fillings. For example, gi…
math.GT2008★ 4 cited
Does Khovanov homology detect the unknot?
Matthew Hedden, Liam Watson
We determine a wide class of knots, which includes unknotting number one knots, within which Khovanov homology detects the unknot. A corollary is that the Khovanov homology of many…