Instantons, concordance, and Whitehead doubling
Geometric Topology
2010-10-05 v2 Differential Geometry
Abstract
We use moduli spaces of instantons and Chern-Simons invariants of flat connections to prove that the Whitehead doubles of (2,2^n-1) torus knots are independent in the smooth knot concordance group; that is, they freely generate a subgroup of infinite rank.
Cite
@article{arxiv.1009.5361,
title = {Instantons, concordance, and Whitehead doubling},
author = {Matthew Hedden and Paul Kirk},
journal= {arXiv preprint arXiv:1009.5361},
year = {2010}
}
Comments
33 pages, 5 figures. Reference corrected