2012/05/25 by K. Grace Kennedy, Kennedy, K. Grace
Computer Science · Mathematics · #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.GT #math.OA #math.QA #msc:57M27 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1205.5781
14 pages
openalex publication_date 2012/05/25 · arxiv created 2012/07/31 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, Bigelow defined a diagrammatic method for calculating the Alexander polynomial of a knot or link by resolving crossings in a planar algebra. I will present my multivariate version of Bigelow's calculation. The advantage to my algorithm is that it generalizes to a multivariate tangle invariant up to Reidemeister I. I will conclude with a possible link to subfactor planar algebras from the work of Jones and Penneys.