2023/03/28 by Elia Fioravanti, Annette Karrer, Fioravanti, Elia +5
Mathematics · #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2303.15981
We consider cusped hyperbolic n-manifolds, and compute Čech cohomology groups of the Morse boundaries of their fundamental groups. In particular, we show that the reduced Čech cohomology with real coefficients vanishes in dimension at most n-3 and does not vanish in dimension n-2. A similar result holds for relatively hyperbolic groups with virtually nilpotent peripherals and Bowditch boundary homeomorphic to a sphere; these include all non-uniform lattices in rank-1 simple Lie groups.