Cobordisms of Free Knots and Gauss Words
Geometric Topology
2009-04-21 v1 Algebraic Geometry
Abstract
We investigate cobordisms of free knots. Free knots and links are also called homotopy classes of Gauss words and phrases. We define a new strong invariant of free knots which allows to detect free knots not cobordant to the trivial one.
Cite
@article{arxiv.0904.2862,
title = {Cobordisms of Free Knots and Gauss Words},
author = {Denis Petrovich Ilyutko and Vassily Olegovich Manturov},
journal= {arXiv preprint arXiv:0904.2862},
year = {2009}
}
Comments
10 pages, 19 figures