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math.GT2023
On the rank of knot homology theories and concordance
Nathan M. Dunfield, Sherry Gong, Thomas Hockenhull +2
For a ribbon knot, it is a folk conjecture that the rank of its knot Floer homology must be 1 modulo 8, and another folk conjecture says the same about reduced Khovanov homology. W…
math.GT2023
A Rasmussen invariant for links in
Ciprian Manolescu, Michael Willis
Asaeda-Przytycki-Sikora, Manturov, and Gabrovšek extended Khovanov homology to links in . We construct a Lee-type deformation of their theory, and use it to define a…