Algebraic and Geometric Topology 2 (2002), paper no. 41, pages 1051-1060.

The slicing number of a knot

Charles Livingston

Abstract. 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.

Keywords. Slice genus, unknotting number

AMS subject classification. Primary: 57M25. Secondary: 57N70.

DOI: 10.2140/agt.2002.2.1051

E-print: arXiv:math.GT/0206072

Submitted: 13 June 2002. Accepted: 29 Oct 2002. Published: 5 November 2002.

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

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