23 citations · 61 across the 11 of their papers we have counts for
5 papers · 1 filter
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…
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…
On the Complexity and Volume of Hyperbolic 3-Manifolds
Thomas Delzant, Leonid Potyagailo
We compare the volume of a hyperbolic 3-manifold of finite volume and the complexity of its fundamental group.
Well displacing representations and orbit maps
Thomas Delzant, Olivier Guichard, François Labourie +1
We discuss in this article a property of action of groups by isometries called "well displacing". An action is said to be well displacing, if the displacement function is equivalen…