99 citations · 237 across the 11 of their papers we have counts for
12 papers
Twisted Blanchfield pairings and decompositions of 3-manifolds
Stefan Friedl, Constance Leidy, Matthias Nagel +1
We prove a decomposition formula for twisted Blanchfield pairings of 3-manifolds. As an application we show that the twisted Blanchfield pairing of a 3-manifold obtained from a 3-m…
Higher-order linking forms for 3-manifolds
Constance Leidy
Given a closed, oriented, connected 3-manifold, M, we define higher-order linking forms on the higher-order Alexander modules of M. These higher-order linking forms generalize simi…
2-torsion in the n-solvable filtration of the knot concordance group
Tim D. Cochran, Shelly Harvey, Constance Leidy
In 1997 Cochran-Orr-Teichner introduced a natural filtration, called the n-solvable filtration, of the smooth knot concordance group, C. Its terms {F_n} are indexed by half integer…
Primary decomposition and the fractal nature of knot concordance
Tim D. Cochran, Shelly Harvey, Constance Leidy
For each sequence of polynomials, P=(p_1(t),p_2(t),...), we define a characteristic series of groups, called the derived series localized at P. Given a knot K in S^3, such a sequen…
Derivatives of Knots and Second-order Signatures
Tim Cochran, Shelly Harvey, Constance Leidy
We define a set of "second-order" L^(2)-signature invariants for any algebraically slice knot. These obstruct a knot's being a slice knot and generalize Casson-Gordon invariants, w…
Link concordance and generalized doubling operators
Tim Cochran, Shelly Harvey, Constance Leidy
We introduce a technique for showing classical knots and links are not slice. As one application we show that the iterated Bing doubles of many algebraically slice knots are not to…