Abstract
An open question asks if every knot of 4–genus can be changed into a slice knot by crossing changes. A counterexample is given.
Citation
Charles Livingston. "The slicing number of a knot." Algebr. Geom. Topol. 2 (2) 1051 - 1060, 2002. https://doi.org/10.2140/agt.2002.2.1051
Information
Received: 13 June 2002; Accepted: 29 October 2002; Published: 2002
First available in Project Euclid: 21 December 2017
zbMATH: 1023.57004
MathSciNet: MR1936979
Digital Object Identifier: 10.2140/agt.2002.2.1051
Subjects:
Primary:
57M25
Secondary:
57N70
Keywords:
slice genus
,
unknotting number
Rights: Copyright © 2002 Mathematical Sciences Publishers