L²-Alexander invariant for knots

2013/03/26 by Jérôme Dubois, Dubois, Jérôme, Christian Wegner +1 · 1 citation
Mathematics · #57M25 #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.1303.6456

26 pages

arxiv created 2013/03/26 · openalex publication_date 2013/03/26 · arxiv updated 2013/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with the study of a new family of knot invariants: the L²-Alexander invariant. A main result is to give a method of computation of the L²-Alexander invariant of a knot complement using any presentation of default 1 of the knot group.

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