99 citations · 531 across the 22 of their papers we have counts for
23 papers
Concordance to boundary links and the solvable filtration
Christopher W. Davis, Shelly Harvey, JungHwan Park
A geometric interpretation of the vanishing of Milnor's higher order linking numbers remains an important open problem in the study of link concordance. In the 1990's, works of Coc…
Co-rank of weakly parafree -manifold groups
Shelly Harvey, Eamonn Tweedy
Recall that a group is called large if it has a finite index subgroup which surjects onto a non-abelian free group. By work of Agol and Cooper-Long-Reid, most 3-manifold groups are…
Grope metrics on the knot concordance set
Tim D. Cochran, Shelly Harvey, Mark Powell
To a special type of grope embedded in 4-space, that we call an admissible grope, we associate a length function for each real number q at least 1. This gives rise to a family of p…
Heegaard Floer homology of spatial graphs
Shelly Harvey, Danielle O'Donnol
We extend the theory of combinatorial link Floer homology to a class of oriented spatial graphs called transverse spatial graphs. To do this, we define the notion of a grid diagram…
The geometry of the knot concordance space
Tim D. Cochran, Shelly Harvey
Most of the 50-year history of the study of the set of knot concordance classes, C, has focused on its structure as an abelian group. Here we take a different approach, namely we s…
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…