18 citations · 65 across the 19 of their papers we have counts for
6 papers · 1 filter
Proportionality principle for the simplicial volume of families of Q-rank 1 locally symmetric spaces
Michelle Bucher, Inkang Kim, Sungwoon Kim
We establish the proportionality principle between the Riemannian volume and locally finite simplicial volume for Q-rank 1 locally symmetric spaces covered by products of hyperboli…
Exponential growth rates of free and amalgamated products
Michelle Bucher, Alexey Talambutsa
We prove that there is a gap between and for the exponential growth rate of free products not isomorphic to the infinite dihedral group. For ama…
The simplicial volume of 3-manifolds with boundary
M. Bucher, R. Frigerio, C. Pagliantini
We provide sharp lower bounds for the simplicial volume of compact -manifolds in terms of the simplicial volume of their boundaries. As an application, we compute the simplicial…
Isometric properties of relative bounded cohomology
Michelle Bucher, Marc Burger, Roberto Frigerio +3
We show that the isomorphism induced by the inclusion of pairs between the relative bounded cohomology of and the bounded cohomology of is…
A Dual Interpretation of the Gromov--Thurston Proof of Mostow Rigidity and Volume Rigidity for Representations of Hyperbolic Lattices
Michelle Bucher, Marc Burger, Alessandra Iozzi
We use bounded cohomology to define a notion of volume of an SO(n,1)-valued representation of a lattice SO(n,1) and, using this tool, we give a complete proof of the volume rigidit…
Milnor-Wood inequalities for products
Michelle Bucher, Tsachik Gelander
We prove Milnor-Wood inequalities for local products of manifolds. As a consequence, we establish the generalized Chern Conjecture for products for any product of a m…