Alexander–Beck modules detect the unknot
Volume 246 / 2019
Fundamenta Mathematicae 246 (2019), 89-108
MSC: Primary 57M27; Secondary 20N02, 18C10.
DOI: 10.4064/fm519-6-2018
Published online: 15 February 2019
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.
