66 citations · 237 across the 23 of their papers we have counts for
26 papers
On sections of maps from 4-manifolds to the 2-sphere
Robert E. Gompf
This note exhibits singular fibrations over the 2-sphere whose regular fibers are connected surfaces of arbitrarily high genus, but which admit no sections. These include achiral L…
Transverse tori in Engel manifolds
Robert E. Gompf
We show that tori in Engel 4-manifolds behave analogously to knots in contact 3-manifolds: Every torus with trivial normal bundle is isotopic to infinitely many distinct transverse…
Topologically trivial proper 2-knots
Robert E. Gompf
We study smooth, proper embeddings of noncompact surfaces in 4-manifolds, focusing on exotic planes and annuli, i.e., embeddings pairwise homeomorphic to the standard embeddings of…
Topological convexity in complex surfaces
Robert E. Gompf
We study a notion of strict pseudoconvexity in the context of topologically (often unsmoothably) embedded 3-manifolds in complex surfaces. Topologically pseudoconvex (TPC) 3-manifo…
Creating Stein surfaces by topological isotopy
Robert E. Gompf
We combine Freedman's topology with Eliashberg's holomorphic theory to construct Stein neighborhood systems in complex surfaces, and use these to study various notions of convexity…
On uniqueness of end sums and 1-handles at infinity
Jack S. Calcut, Robert E. Gompf
For oriented manifolds of dimension at least 4 that are simply connected at infinity, it is known that end summing is a uniquely defined operation. Calcut and Haggerty showed that…