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arxiv: math/0504045 · v1 · pith:LH23NR44new · submitted 2005-04-03 · 🧮 math.GT

Knot polynomials and knot homologies

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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    math.GT 2026-06 unverdicted novelty 5.0

    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...