Smoothed Invariants
Geometric Topology
2011-09-15 v1
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.
Cite
@article{arxiv.1109.3165,
title = {Smoothed Invariants},
author = {H. A. Dye},
journal= {arXiv preprint arXiv:1109.3165},
year = {2011}
}
Comments
17 pages, 19 figures, Reworking of material in Invariants from the Linking Number