$L^2$-Alexander invariant for knots

Jérôme Dubois; Christian Wegner

$L^2$-Alexander invariant for knots

Geometric Topology 2013-03-27 v1

Authors: Jérôme Dubois , Christian Wegner

Abstract

This paper deals with the study of a new family of knot invariants: the $L^2$ -Alexander invariant. A main result is to give a method of computation of the $L^2$ -Alexander invariant of a knot complement using any presentation of default 1 of the knot group.

Keywords

knot invariants alexander polynomial knot theory

Cite

@article{arxiv.1303.6456,
  title  = {$L^2$-Alexander invariant for knots},
  author = {Jérôme Dubois and Christian Wegner},
  journal= {arXiv preprint arXiv:1303.6456},
  year   = {2013}
}

Comments

26 pages

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