81 citations · 433 across the 50 of their papers we have counts for
4 papers · 1 filter
On the Dehn functions of Kähler groups
Claudio Llosa Isenrich, Romain Tessera
We address the problem of which functions can arise as Dehn functions of Kähler groups. We explain why there are examples of Kähler groups with linear, quadratic, and exponential D…
A notion of geometric complexity and its application to topological rigidity
Erik Guentner, Romain Tessera, Guoliang Yu
We introduce a geometric invariant, called finite decomposition complexity (FDC), to study topological rigidity of manifolds. We prove for instance that if the fundamental group of…
Coarse embeddings into a Hilbert space, Haagerup Property and Poincare inequalities
Romain Tessera
We prove that a metric space does not coarsely embed into a Hilbert space if and only if it satisfies a sequence of Poincaré inequalities, which can be formulated in terms of (gene…
Vanishing of the first reduced cohomology with values in an -representation
Romain Tessera
We prove that the first reduced cohomology with values in a mixing Lp-representation, p larger than 1, vanishes for a class of amenable groups including connected amenable Lie grou…