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math.GT2020
Khovanov homology and cobordisms between split links
Onkar Singh Gujral, Adam Simon Levine
In this paper, we study the (in)sensitivity of the Khovanov functor to four-dimensional linking of surfaces. We prove that if and are split links, and is a cobordism b…
math.GT2020★ 12 cited
Khovanov homology detects the figure-eight knot
John A. Baldwin, Nathan Dowlin, Adam Simon Levine +2
Using Dowlin's spectral sequence from Khovanov homology to knot Floer homology, we prove that reduced Khovanov homology (over ) detects the figure-eight knot.