30 citations · 30 across the 2 of their papers we have counts for
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The effect of infecting curves on knot concordance
Bridget D. Franklin
Various obstructions to knot concordance have been found using Casson-Gordon invariants, higher-order Alexander polynomials, as well as von-Neumann rho-invariants. Examples have be…
Knot concordance and homology cobordism
Tim D. Cochran, Bridget D. Franklin, Matthew Hedden +1
We consider the question: "If the zero-framed surgeries on two oriented knots in the 3-sphere are integral homology cobordant, preserving the homology class of the positive meridia…
Rational knot concordance and homology cobordism
Tim D. Cochran, Bridget D. Franklin, Peter D. Horn
The following is a long-standing open question: "If the zero-framed surgeries on two knots in the 3-sphere are integral homology cobordant, are the knots themselves concordant?" We…