Order 2 Algebraically Slice Knots
Geometric Topology
2007-05-23 v2
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.
Cite
@article{arxiv.math/9808059,
title = {Order 2 Algebraically Slice Knots},
author = {Charles Livingston},
journal= {arXiv preprint arXiv:math/9808059},
year = {2007}
}
Comments
8 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper18.abs.html