A Margulis spacetime is the quotient of the Minkowski space by a free proper orientation-preserving isometric action of a free group of rank at least two.
From Danciger, Kassel, and Guéritaud:
"Based on a question of Margulis, Drumm–Goldman conjectured in the early 1990s that all Margulis spacetimes should be tame, meaning homeomorphic to the interior of a compact manifold."
In a series of paper, I believe Choi, Drumm, and Goldman, and independently Danciger, Kassel, and Guéritaud resolved this conjecture affirmatively.
Links:
- Topological tameness of Margulis spacetimes, by Suhyoung Choi, William Goldman
- Tameness of Margulis space-times with parabolics, by Suhyoung Choi, Todd Drumm, William Goldman
- Geometry and topology of complete Lorentz spacetimes of constant curvature, by Jeffrey Danciger, François Guéritaud, Fanny Kassel
- Margulis spacetimes via the arc complex, by Jeffrey Danciger, François Guéritaud, Fanny Kassel