23 citations · 61 across the 11 of their papers we have counts for
12 papers
Cellular waists of hyperbolic spaces
Grigori Avramidi, Thomas Delzant
We find lower bounds on the topological complexity of fibers of PL and generic smooth maps , where is a closed hyperbolic manifold of large injec…
Group rings and hyperbolic geometry
Grigori Avramidi, Thomas Delzant
For a group acting on a hyperbolic space, we set up an algorithm in the group algebra showing that ideals generated by few elements are free, where few is a function of the minimal…
Representations of dual spaces
Thomas Delzant, Vilmos Komornik
We give a nonlinear representation of the duals for a class of Banach spaces. This leads to classroom-friendly proofs of the classical representation theorems and $(L^p)'=L^…
Product set growth in groups and hyperbolic geometry
Thomas Delzant, Markus Steenbock
Generalising results of Razborov and Safin, and answering a question of Button, we prove that for every hyperbolic group there exists a constant such that for every finite su…
Cubulable Kähler groups
Thomas Delzant, Pierre Py
We prove that a Kähler group which is cubulable, i.e. which acts properly discontinuously and cocompactly on a CAT(0) cubical complex, has a finite index subgroup isomorphic to a d…
A finiteness property on monodromies of holomorphic families
Thomas Delzant
Given a Kahler group, we study the set of homomorphisms from this group to the mapping class group which can be realized as the monodromy of a holomorphic family of curves.