## Algebraic & Geometric Topology

### The slicing number of a knot

Charles Livingston

#### Abstract

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

#### Article information

Source
Algebr. Geom. Topol., Volume 2, Number 2 (2002), 1051-1060.

Dates
Accepted: 29 October 2002
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.agt/1513882750

Digital Object Identifier
doi:10.2140/agt.2002.2.1051

Mathematical Reviews number (MathSciNet)
MR1936979

Zentralblatt MATH identifier
1023.57004

Subjects
Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Secondary: 57N70: Cobordism and concordance

Keywords
slice genus unknotting number

#### Citation

Livingston, Charles. The slicing number of a knot. Algebr. Geom. Topol. 2 (2002), no. 2, 1051--1060. doi:10.2140/agt.2002.2.1051. https://projecteuclid.org/euclid.agt/1513882750

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