The slicing number of a knot

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ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Algebraic & Geometric Topology 2 (2002) 1051–1060

DOI: 10.2140/agt.2002.2.1051

An open question asks if every knot of 4–genus $g_{s}$ can be changed into a slice knot by $g_{s}$ crossing changes. A counterexample is given.

slice genus, unknotting number

Primary: 57M25

Secondary: 57N70

Received: 13 June 2002

Accepted: 29 October 2002

Published: 5 November 2002

Charles Livingston
Department of Mathematics Indiana University Bloomington, IN 47405 USA