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Smoothed Invariants

We construct two knot invariants. The first knot invariant is a sum constructed using linking numbers. The second is an invariant of flat knots and is a formal sum of flat knots obtained by smoothing pairs of crossings. This invariant can be used in conjunction with other flat invariants, forming a family of invariants. Both invariants are constructed using the parity of a crossing.

3 nodes2 linksoverview mapSmoothed Invariants
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Smoothed Invariants3 visible / 3 total nodes / 2 links
AuthorshipTopic signalWSmoothed Invariantspreprint / 2011AH. A. DyeResearcherTmath.GT2393 works
PaperSignal 102 links

Smoothed Invariants

preprint / 2011

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