Open Access
2003 Splitting the concordance group of algebraically slice knots
Charles Livingston
Geom. Topol. 7(2): 641-643 (2003). DOI: 10.2140/gt.2003.7.641

Abstract

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.

Citation

Download Citation

Charles Livingston. "Splitting the concordance group of algebraically slice knots." Geom. Topol. 7 (2) 641 - 643, 2003. https://doi.org/10.2140/gt.2003.7.641

Information

Received: 1 June 2003; Accepted: 21 September 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1066.57010
MathSciNet: MR2026553
Digital Object Identifier: 10.2140/gt.2003.7.641

Subjects:
Primary: 57M25
Secondary: 57Q60

Keywords: algebraically slice , knot concordance

Rights: Copyright © 2003 Mathematical Sciences Publishers

Vol.7 • No. 2 • 2003
MSP
Back to Top