Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers-Reference-Cited by-同舟云学术

Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers

Published:2006-04-10 Issue:9 Volume:134 Page:2779-2783
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Carter J.,Saito Masahico,Satoh Shin

Abstract

We prove that a crossing change along a double point circle on a 2 2 -knot is realized by ribbon-moves for a knotted torus obtained from the 2 2 -knot by attaching a 1 1 -handle. It follows that any 2 2 -knots for which the crossing change is an unknotting operation, such as ribbon 2 2 -knots and twist-spun knots, have trivial Khovanov-Jacobsson number.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-09/S0002-9939-06-08288-8/S0002-9939-06-08288-8.pdf

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