Knot traces and concordance — mentioned by kmill

Wed, 20 May 2020 06:39:59 GMT

Yeah, it's pretty cool! On one hand you have knot traces, which are spaces that completely determine whether a knot is slice, and on the other you have the Rassmussen s-invariant, which can sometimes tell whether a knot isn't slice. It turns out that knot traces contain different information from the s-invariant. One way sliceness is studied is through knot concordance, which is a certain restricted kind of deformation of a knot through 4-d space. All slice knots are concordant to each other. The Rasmussen s-invariant is invariant under concordance. So, the particular pair of knots C and K'…

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Knot traces and concordance · HackerPapers discussions

Knot traces and concordance — mentioned by kmill