3 papers
math.GT2026
A Combinatorial Characterization of Sol 3-Manifolds
Daryl Cooper, Leslie Mavrakis, Priyam Patel
We show that there is a universal compact branched 3-manifold such that a closed 3-manifold immerses into if and only if admits a Sol structure. Equivalently, a clo…
math.GT2026
Combinatorial Characterizations and Branched Manifolds
Daryl Cooper, Leslie Mavrakis, Priyam Patel
A family of compact n-manifolds is locally combinatorially defined (LCD) if it can be specified by a finite number of local triangulations. We show that LCD is equivalent to the ex…
math.GT2025
The Space of Strictly-convex Real-projective structures on a closed manifold
Daryl Cooper, Stephan Tillmann
This is an expository proof that, if is a compact -manifold with no boundary, then the set of holonomies of strictly-convex real-projective structures on is a subset of…