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math.GT2022★ 2 cited
A Kirby color for Khovanov homology
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We construct a Kirby color in the setting of Khovanov homology: an ind-object of the annular Bar-Natan category that is equipped with a natural handle slide isomorphism. Using func…
math.GT2022★ 1 cited
Skein lasagna modules and handle decompositions
Ciprian Manolescu, Kevin Walker, Paul Wedrich
The skein lasagna module is an extension of Khovanov-Rozansky homology to the setting of a four-manifold and a link in its boundary. This invariant plays the role of the Hilbert sp…