David T. Gay

activity

19992023

most citedTrisecting 4-manifolds

85 citations · 336 across the 26 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.GT2012★ 85 cited

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 $♮^{k} (S^{1} \times B^{3})$ , intersecting pairwise in 3--dimensional handle…

math.GT2012★ 1 cited

Reconstructing 4-manifolds from Morse 2-functions

David T. Gay, Robion Kirby

Given a Morse 2-function $f : X^{4} \to S^{2}$ , we give minimal conditions on the fold curves and fibers so that $X^{4}$ and $f$ can be reconstructed from a certain combinatorial diagram…