On long knots in the full torus
Algebraic Topology
2021-09-16 v2 Group Theory
Geometric Topology
Abstract
The aim of this paper is to realise the techniques of picture-valued invariants and invariants valued in free groups for long knots in the full torus. Such knots and links are of a particular interest because of their relation to Legendrian knots, knotoids, 3-manifolds and many other objects. Invariants constructed in the paper are powerful and easy to compare. This paper is a sequel of [6]. Long knots naturally appear in the study of classical knots [1, 8].
Cite
@article{arxiv.2104.13820,
title = {On long knots in the full torus},
author = {Sera Kim and Seongjeong Kim and Vassily Olegovich Manturov},
journal= {arXiv preprint arXiv:2104.13820},
year = {2021}
}
Comments
12 pages, 9 figures