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A Sliceness Criterion for Odd Free Knots

2017/07/16 by D. A. Fedoseev, Vassily Olegovich Manturov, Fedoseev, Denis +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Connective tissue disorders research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1707.04923

openalex publication_date 2017/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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