activity
19992023
most citedTrisecting 4-manifolds

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

collaborators

28 papers

math.GT2023

Constructing Lagrangians from triple grid diagrams

Sarah Blackwell, David T. Gay, Peter Lambert-Cole

Links in can be encoded by grid diagrams; a grid diagram is a collection of points on a toroidal grid such that each row and column of the grid contains exactly two points. G…

math.GT2022

From near-symplectic constructions to trisections of 4-manifolds

David T Gay

This is an expository account of the author's collaboration with Rob Kirby leading up to the theory of trisections of smooth 4-manifolds. This article was written for inclusion in…

math.GT2022★ 3 cited

Relations amongst twists along Montesinos twins in the 4-sphere

David T. Gay, Daniel Hartman

Isotopy classes of diffeomorphisms of the 4-sphere can be described either from a Cerf theoretic perspective in terms of loops of 5-dimensional handle attaching data, starting and…

math.GT2021★ 2 cited

Diffeomorphisms of the 4-sphere, Cerf theory and Montesinos twins

David T. Gay

One way to better understand the smooth mapping class group of the 4-sphere would be to give a list of generators in the form of explicit diffeomorphisms supported in neighborhoods…

math.GT2019

From Heegaard splittings to trisections; porting 3-dimensional ideas to dimension 4

David T. Gay

These notes summarize and expand on a mini-course given at CIRM in February 2018 as part of Winter Braids VIII. We somewhat obsessively develop the slogan `Trisections are to 4-man…

math.GT2018★ 11 cited

Doubly pointed trisection diagrams and surgery on 2-knots

David Gay, Jeffrey Meier

We study embedded spheres in 4-manifolds (2-knots) via doubly pointed trisection diagrams, showing that such descriptions are unique up to stabilization and handleslides, and we de…