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.
Livingston, Charles  1
@article{10_2140_agt_2002_2_1051,
author = {Livingston, Charles},
title = {The slicing number of a knot},
journal = {Algebraic and Geometric Topology},
pages = {1051--1060},
year = {2002},
volume = {2},
number = {2},
doi = {10.2140/agt.2002.2.1051},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2002.2.1051/}
}
Livingston, Charles. The slicing number of a knot. Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1051-1060. doi: 10.2140/agt.2002.2.1051
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