The boundary model for the continuous cohomology of Isom

  • Hester Pieters

    Technion - Israel Institute of Technology, Haifa, Israel

Abstract

We prove that the continuous cohomology of Isom can be measurably realized on the boundary of hyperbolic space. This implies in particular that for Isom the comparison map from continuous bounded cohomology to continuous cohomology is injective in degree 3. We furthermore prove a stability result for the continuous bounded cohomology of Isom and Isom.

Cite this article

Hester Pieters, The boundary model for the continuous cohomology of Isom. Groups Geom. Dyn. 12 (2018), no. 4, pp. 1239–1263

DOI 10.4171/GGD/470