Instantons, concordance, and Whitehead doubling
classification
🧮 math.GT
math.DG
keywords
concordanceinstantonswhiteheadchern-simonsconnectionsdoublesdoublingflat
read the original 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.
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