Smoothed Invariants

Details Smoothed Invariants Smoothed Invariants

2011-09-14

arxiv.org/abs/1109.3165v1

Mathematics

Geometric Topology

17 pages, 19 figures, Reworking of material in Invariants from the Linking Number

Scientific paper

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.

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