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Twisted Alexander polynomials and a partial order on the set of prime knots

2008/02/25 by Teruaki Kitano, Masaaki Suzuki · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #math.AT #math.GT #msc:57M05 #msc:57M25

paper · pdf · doi:10.2140/gtm.2008.13.307

published as Geom. Topol. Monogr. 13 (2008) 307-321 · This is the version published by Geometry & Topology Monographs on 25 February 2008

openalex publication_date 2008/02/25 · arxiv created 2009/04/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We give a survey of some recent papers by the authors and Masaaki Wada [6; 7; 8] relating the twisted Alexander polynomial with a partial order on the set of prime knots. We also give examples and pose open problems.

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