Instantons, concordance, and Whitehead doubling
arXiv:1009.5361
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.
33 pages, 5 figures. Reference corrected