Geometry & Topology Monographs 2 (1999), Proceedings of the Kirbyfest, paper no. 18, pages 335-342.

Order 2 Algebraically Slice Knots

Charles Livingston

Abstract. The concordance group of algebraically slice knots is the subgroup of the classical knot concordance group formed by algebraically slice knots. Results of Casson and Gordon and of Jiang showed that this group contains in infinitely generated free (abelian) subgroup. Here it is shown that the concordance group of algebraically slice knots also contain elements of finite order; in fact it contains an infinite subgroup generated by elements of order 2.

Keywords. Concordance, concordance group, slice, algebraically slice

AMS subject classification. Primary: 57M25. Secondary: 57N70, 57Q20.

E-print: arXiv:math.GT/9808059

Submitted: 13 August 1998. (Revised: 26 February 1999.) Published: 20 November 1999.

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Charles Livingston
Department of Mathematics, Indiana University
Bloomington, Indiana 47405, USA
Email: livingst@indiana.edu

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