Order 2 Algebraically Slice Knots

Details Order 2 Algebraically Slice Knots Order 2 Algebraically Slice Knots

1998-08-13

arxiv.org/abs/math/9808059v2

Geom. Topol. Monogr. 2 (1999), 335-342

Mathematics

Geometric Topology

8 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper18.abs.html

Scientific paper

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.

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