2011/09/14 by Heather A. Dye, Dye, H. A.
Mathematics · #57M27 #Advanced Topics in Algebra #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1109.3165
openalex publication_date 2011/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.