Stabilizing Four-Torsion in Classical Knot Concordance
Geometric Topology
2013-09-30 v1
Abstract
Let be the 2-fold branched cover of a knot S^3H_1(M_K) = {\bf Z}_3 \oplus {\bf Z}_{3^{2i}} \oplus GGK$ is not of order 4 in the concordance group. This obstruction detects infinite new families of knots that represent elements of order 4 in the algebraic concordance group that are not of order 4 in concordance.
Keywords
Cite
@article{arxiv.0908.0005,
title = {Stabilizing Four-Torsion in Classical Knot Concordance},
author = {Charles Livingston and Swatee Naik},
journal= {arXiv preprint arXiv:0908.0005},
year = {2013}
}