Ribbon concordance of knots is a partial ordering-Reference-Cited by-同舟云学术

Ribbon concordance of knots is a partial ordering

Published:2022-12-12 Issue:9 Volume:2 Page:374-379
ISSN:2692-3688
Container-title:Communications of the American Mathematical Society
language:en
Short-container-title:Comm. Amer. Math. Soc.

Author:

Agol Ian

Abstract

In this note we show that ribbon concordance forms a partial ordering on the set of knots, answering a question of Gordon [Math. Ann. 257 (1981), pp. 157–170, Conjecture 1.1]. The proof makes use of representation varieties of the knot groups to S O ( N ) SO(N) and the subquotient relation between them induced by a ribbon concordance.

Publisher

American Mathematical Society (AMS)

Link

https://www.ams.org/cams/2022-02-09/S2692-3688-2022-00015-8/S2692-3688-2022-00015-8.pdf

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