Cobordisms of Free Knots and Gauss Words

2009/04/18 by Denis Petrovich Ilyutko, Vassily Olegovich Manturov, Ilyutko, Denis Petrovich +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AG #math.GT

paper · pdf · doi:10.48550/arxiv.0904.2862

10 pages, 19 figures

arxiv created 2009/04/18 · arxiv updated 2009/12/01

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.

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