17 citations · 38 across the 4 of their papers we have counts for
4 papers · 1 filter
On Transverse Knots and Branched Covers
Shelly Harvey, Keiko Kawamuro, Olga Plamenevskaya
We study contact manifolds that arise as cyclic branched covers of transverse knots in the standard contact 3-sphere. We discuss properties of these contact manifolds and describe…
Knot concordance and Blanchfield duality
Tim D. Cochran, Shelly Harvey, Constance Leidy
We introduce a new technique for showing classical knots and links are not slice. As one application we resolve a long-standing question as to whether certain natural families of k…
Homology and Derived p-Series of Groups
Tim D. Cochran, Shelly Harvey
We prove that groups that are mod-p-homology equivalent are isomorphic modulo any term of their derived p-series, in precise analogy to Stallings' 1963 result for the lower-central…
Higher-Order Polynomial Invariants of 3-Manifolds Giving Lower Bounds for the Thurston Norm
Shelly Harvey
We define an infinite sequence of new invariants, delta_n, of a group G that measure the size of the successive quotients of the derived series of G. In the case that G is the fund…