The Dabkowski-Sahi invariant and $4$-moves for links
Geometric Topology
2020-05-26 v1
Abstract
Dabkowski and Sahi defined an invariant of a link in the -sphere, which is preserved under -moves. This invariant is a quotient of the fundamental group of the complement of the link. It is generally difficult to distinguish the Dabkowski-Sahi invariants of given links. In this paper, we give a necessary condition for the existence of an isomorphism between the Dabkowski-Sahi invariant of a link and that of the corresponding trivial link. Using this condition, we provide a practical obstruction to a link to be trivial up to -moves.
Cite
@article{arxiv.2005.11793,
title = {The Dabkowski-Sahi invariant and $4$-moves for links},
author = {Haruko A. Miyazawa and Kodai Wada and Akira Yasuhara},
journal= {arXiv preprint arXiv:2005.11793},
year = {2020}
}
Comments
9 pages