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math.GT2010★ 3 cited
Instantons, concordance, and Whitehead doubling
Matthew Hedden, Paul Kirk
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 c…
math.GT2010★ 42 cited
Slopes and colored Jones polynomials of adequate knots
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
Garoufalidis conjectured a relation between the boundary slopes of a knot and its colored Jones polynomials. According to the conjecture, certain boundary slopes are detected by th…