TY - JOUR

T1 - A sliceness criterion for odd free knots

AU - Manturov, V. O.

AU - Fedoseev, D. A.

PY - 2019/10

Y1 - 2019/10

N2 - The problem of concordance and cobordism of knots is a well- known classical problem in low-dimensional topology. The purpose of this paper is to show that for odd free knots, that is, free knots with all intersections odd, the question of whether the knot is slice (concordant to a trivial knot) can be answered effectively by analysing pairing of the chords in a knot diagram. Bibliography: 8 titles.

AB - The problem of concordance and cobordism of knots is a well- known classical problem in low-dimensional topology. The purpose of this paper is to show that for odd free knots, that is, free knots with all intersections odd, the question of whether the knot is slice (concordant to a trivial knot) can be answered effectively by analysing pairing of the chords in a knot diagram. Bibliography: 8 titles.

KW - cobordism

KW - four-valent graph

KW - free knot

KW - parity

KW - sliceness

KW - PARITY

UR - http://www.scopus.com/inward/record.url?scp=85082496998&partnerID=8YFLogxK

U2 - 10.1070/SM9144

DO - 10.1070/SM9144

M3 - Article

AN - SCOPUS:85082496998

VL - 210

SP - 1493

EP - 1509

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 10

ER -