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Splitting the concordance group of algebraically slice
knots
Charles Livingston
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Geometry & Topology 7 (2003)
641–643
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Abstract
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As a corollary of work of Ozsváth and Szabó, it is shown that the classical
concordance group of algebraically slice knots has an infinite cyclic summand and in
particular is not a divisible group.
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Keywords
Knot concordance, algebraically slice
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Mathematical Subject Classification
Primary: 57M25
Secondary: 57Q60
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Publication
Received: 1 June 2003
Accepted: 21 September 2003
Published: 22 October 2003
Proposed: Robion Kirby
Seconded: Tomasz Mrowka, Cameron Gordon
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