29 citations · 117 across the 19 of their papers we have counts for
22 papers
Doubles of Gluck twists: a five dimensional approach
David Gabai, Patrick Naylor, Hannah Schwartz
Using a 5-dimensional perspective, we balance algebraic and geometric handle cancellation to show that doubles of Gluck twists of certain 2-spheres with two minima are standard. Th…
On the automorphism groups of hyperbolic manifolds
Ryan Budney, David Gabai
Let Diff(N) and Homeo(N) denote the smooth and topological group of automorphisms respectively that fix the boundary of the n-manifold N, pointwise. We show that the (n-4)-th homot…
3-Spheres in the 4-Sphere and Pseudo-Isotopies of
David Gabai
We offer an approach to the smooth 4-dimensional Schoenflies conjecture via pseudo-isotopy theory.
Hyperbolic 3-manifolds of low cusp volume
David Gabai, Robert Haraway, Robert Meyerhoff +2
We classify the complete hyperbolic 3-manifolds admitting a maximal cusp of volume at most 2.62. We use this to show that the figure-8 knot complement is the unique 1-cusped hyperb…
The fully marked surface theorem
David Gabai, Mehdi Yazdi
In his seminal 1976 paper Bill Thurston observed that a closed leaf S of a foliation has Euler characteristic equal, up to sign, to the Euler class of the foliation evaluated on [S…
Self-Referential Discs and the Light Bulb Lemma
David Gabai
We show how self-referential discs in 4-manifolds lead to the construction of pairs of discs with a common geometrically dual sphere which are homotopic rel , concordant…