Instantons, concordance, and Whitehead doubling

Details Instantons, concordance, and Whitehead doubling Instantons, concordance, and Whitehead doubling

2010-09-27

arxiv.org/abs/1009.5361v2

Mathematics

Geometric Topology

33 pages, 5 figures. Reference corrected

Scientific paper

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.

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