Volume 2 (1999)

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Order 2 algebraically slice knots

Charles Livingston

Geometry & Topology Monographs 2 (1999) 335–342

DOI: 10.2140/gtm.1999.2.335

arXiv: math.GT/9808059

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

Mathematical Subject Classification

Primary: 57M25

Secondary: 57N70, 57Q20

References
Publication

Received: 13 August 1998
Revised: 26 February 1999
Published: 20 November 1999

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