2020/06/25 by Douglas Blackwell, Blackwell, Douglas, Damiano Testa +1
Engineering · Mathematics · #14E22 #14H50 #57K14 #57M25 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2006.14311
openalex publication_date 2020/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study factorizations of HOMFLY polynomials of certain knots and oriented links. We begin with a computer analysis of knots with at most 12 crossings, finding 17 non-trivial factorizations. Next, we give an irreducibility criterion for HOMFLY polynomials of oriented links associated to 2-connected plane graphs.