2022/07/04 by Cheetham-West, Tamunonye, Nolte, Alexander
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2207.01720
We show that recent work of Song implies that torsion-free hyperbolic groups with Gromov boundary S2 are realized as fundamental groups of closed 3-manifolds of constant negative curvature if and only if the solution to an associated spherical Plateau problem for group homology is isometric to such a 3-manifold, and suggest some related questions.