A Sliceness Criterion for Odd Free Knots

Abstract

The main goal of this paper is to prove that for odd free knots - that is free knots with all odd crossings - the problem of sliceness (the existence of a spanning disc) has an explicit answer based on the pairing of the knot diagram chords.

9 pages, 8 figures

Cited by in corpus (1)

• Cobordisms of graphs. A sliceness criterion for stably odd knots and related results on cobordisms