85 citations · 261 across the 14 of their papers we have counts for
15 papers
A group-theoretic framework for low-dimensional topology
Sarah Blackwell, Robion Kirby, Michael Klug +2
A correspondence, by way of Heegaard splittings, between closed oriented 3-manifolds and pairs of surjections from a surface group to a free group has been studied by Stallings, Ja…
Trisections and link surgeries
Robion Kirby, Abigail Thompson
We examine questions about surgery on links which arise naturally from the trisection decomposition of 4-manifolds developed by Gay and Kirby. These links lie on Heegaard surfaces…
Group trisections and smooth 4-manifolds
Aaron Abrams, David T. Gay, Robion Kirby
A trisection of a smooth, closed, oriented 4-manifold is a decomposition into three 4-dimensional 1-handlebodies meeting pairwise in 3-dimensional 1-handlebodies, with triple inter…
Trisecting 4-manifolds
David T. Gay, Robion Kirby
We show that any smooth, closed, oriented, connected 4--manifold can be trisected into three copies of , intersecting pairwise in 3--dimensional handle…
Reconstructing 4-manifolds from Morse 2-functions
David T. Gay, Robion Kirby
Given a Morse 2-function , we give minimal conditions on the fold curves and fibers so that and can be reconstructed from a certain combinatorial diagram…
Cohomotopy sets of 4-manifolds
Robion Kirby, Paul Melvin, Peter Teichner
Elementary geometric arguments are used to compute the group of homotopy classes of maps from a 4-manifold X to the 3-sphere, and to enumerate the homotopy classes of maps from X t…