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A diagrammatic Alexander invariant of tangles

2012/03/25 by Stephen Bigelow, Bigelow, Stephen
Mathematics · #57M25 #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25 #msc:57M27

paper · pdf · doi:10.48550/arxiv.1203.5457

8 pages

arxiv created 2012/03/25 · openalex publication_date 2012/03/25 · arxiv updated 2012/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new construction of the one-variable Alexander polynomial of an oriented knot or link, and show that it generalizes to a vector valued invariant of oriented tangles.

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