Geometry & Topology, Vol. 7 (2003) Paper no. 18, pages 641--643.

Splitting the concordance group of algebraically slice knots

Charles Livingston

Abstract. As a corollary of work of Ozsvath and Szabo [Geom. Topol. 7 (2003) 615-639], 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.

Keywords. Knot concordance, algebraically slice

AMS subject classification. Primary: 57M25. Secondary: 57Q60.

DOI: 10.2140/gt.2003.7.641

E-print: arXiv:math.GT/0305363

Submitted to GT on 1 June 2003. Paper accepted 21 September 2003. Paper published 22 October 2003.

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

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