Smoothed Invariants
arXiv:1109.3165
Abstract
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.
17 pages, 19 figures, Reworking of material in Invariants from the Linking Number