Knot polynomials and knot homologies

Jacob Rasmussen

Knot polynomials and knot homologies

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arxiv math/0504045 v1 pith:LH23NR44 submitted 2005-04-03 math.GT

Jacob Rasmussen This is my paper · ORCID

classification math.GT

keywords knothomologiessomecorrespondencedescribediscussingexamplesexpository

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This is an expository paper discussing some parallels between the Khovanov and knot Floer homologies. We describe the formal similarities between the theories and give some examples which illustrate a somewhat mysterious correspondence between them.

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Deeply Slice Knot Detection via Immersed Curves
math.GT 2026-06 unverdicted novelty 5.0 of 10

Authors produce a class of deeply slice knots in non-trivial integral homology 3-spheres by building contractible 4-manifolds where the knots are slice and verifying they fail to be slice in the 3-manifold times inter...

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