2007/06/01 by T. Fiedler, Thomas Fiedler, Fiedler, T.
Computer Science · Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Matrix Theory and Algorithms #math.GT #msc:57M25
paper · pdf · doi:10.48550/arxiv.0706.0084
10 pages, 11 figures v.2 : References added v.3 : Results improved
openalex publication_date 2007/06/01 · arxiv created 2007/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend the state models for Jones and Alexander polynomials of classical links to state models of 2-variable polynomials in the case of singular links. Moreover, we extend both of them to polynomials with d+1 variables for long singular knots with exactly d double points. These extensions can detect non-invertibility of long singular knots.