Alexander-Beck modules detect the unknot
Geometric Topology
2019-04-12 v2 Algebraic Topology
Category Theory
Quantum Algebra
Abstract
We introduce the Alexander-Beck module of a knot as a canonical refinement of the classical Alexander module, and we prove that this new invariant is an unknot-detector.
Keywords
Cite
@article{arxiv.1610.08306,
title = {Alexander-Beck modules detect the unknot},
author = {Markus Szymik},
journal= {arXiv preprint arXiv:1610.08306},
year = {2019}
}
Comments
27 pages, 1 figure, Fund. Math. (to appear)