99 citations · 649 across the 34 of their papers we have counts for
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math.GT2010
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…
math.GT2010★ 9 cited
Higher-order signature cocycles for subgroups of mapping class groups and homology cylinders
Tim D. Cochran, Shelly Harvey, Peter Horn
We define families of invariants for elements of the mapping class group of S, a compact orientable surface. Fix any characteristic subgroup H of pi_1(S) and restrict to J(H), any…