99 citations · 649 across the 34 of their papers we have counts for
4 papers · 1 filter
Structure in the bipolar filtration of topologically slice knots
Tim D. Cochran, Peter D. Horn
Let T denote the group of smooth concordance classes of topologically sice knots. We show that the first quotient in the bipolar filtration of T (i.e. 0-bipolar knots modulo 1-bipo…
Homology cobordism and Seifert fibered 3-manifolds
Tim D. Cochran, Daniel Tanner
It is known that every closed oriented 3-manifold is homology cobordant to a hyperbolic 3-manifold. By contrast we show that many homology cobordism classes contain no Seifert fibe…
Injectivity of satellite operators in knot concordance
Tim D. Cochran, Christopher W. Davis, Arunima Ray
Let P be a knot in a solid torus, K a knot in 3-space and P(K) the satellite knot of K with pattern P. This defines an operator on the set of knot types and induces a satellite ope…
Filtering smooth concordance classes of topologically slice knots
Tim D. Cochran, Shelly Harvey, Peter Horn
We propose and analyze a structure with which to organize the difference between a knot in the 3-sphere bounding a topologically embedded 2-disk in the 4-ball and it bounding a smo…