57 citations · 108 across the 14 of their papers we have counts for
4 papers · 1 filter
Asymptotic dimension and geometric decompositions in dimensions 3 and 4
H. Contreras Peruyero, P. Suárez-Serrato
We show that the fundamental groups of smooth -manifolds that admit geometric decompositions in the sense of Thurston have asymptotic dimension at most four, and equal to 4 when…
Topological rigidity of higher graph manifolds
Noé Bárcenas, Daniel Juan-Pineda, Pablo Suárez-Serrato
In this short note we prove the Borel conjecture for a family of aspherical manifolds that includes higher graph manifolds.
The volume flux group and nonpositive curvature
Pablo Suárez-Serrato
We show that every closed nonpositively curved manifold with non-trivial volume flux group has zero minimal volume, and admits a finite covering with circle actions whose orbits ar…
Affine configurations and pure braids
Pablo Suárez-Serrato
We show that the fundamental group of the space of ordered affine-equivalent configurations of at least five points in the real plane is isomorphic to the pure braid group modulo i…