23 citations · 81 across the 14 of their papers we have counts for
15 papers
Profinite rigidity of Kähler groups: Riemann surfaces and subdirect products
Sam Hughes, Claudio Llosa Isenrich, Pierre Py +2
This paper establishes strong profinite rigidity results for Kähler groups, showing that certain groups are determined within the class of residually finite Kähler groups by their…
Groups with exotic finiteness properties from complex Morse theory
Claudio Llosa Isenrich, Pierre Py
Recent constructions have shown that interesting behaviours can be observed in the finiteness properties of Kähler groups and their subgroups. In this work, we push this further an…
Subgroups of hyperbolic groups, finiteness properties and complex hyperbolic lattices
Claudio Llosa Isenrich, Pierre Py
We prove that in a cocompact complex hyperbolic arithmetic lattice of the simplest type, deep enough finite index subgroups admit plenty of homomorphisms to $\ma…
Hyperbolic groups containing subgroups of type not
Claudio Llosa Isenrich, Bruno Martelli, Pierre Py
We give examples of hyperbolic groups which contain subgroups that are of type but not of type . These groups are obtained by Dehn filling starti…
Irrational pencils and Betti numbers
Francisco Nicolás, Pierre Py
We study irrational pencils with isolated critical points on compact aspherical complex manifolds. We prove that if the set of critical points is nonempty, the homology of the kern…
Mapping class groups, multiple Kodaira fibrations, and CAT(0) spaces
Claudio Llosa Isenrich, Pierre Py
We study several geometric and group theoretical problems related to Kodaira fibrations, to more general families of Riemann surfaces, and to surface-by-surface groups. First we pr…
Hyperbolic spaces, principal series and
Pierre Py, Arturo Sánchez
We prove that there exists no irreducible representation of the identity component of the isometry group of the real hyperbolic space of dimension into the grou…
Self-representations of the Moebius group
Nicolas Monod, Pierre Py
Contrary to the finite-dimensional case, the Moebius group admits interesting self-representations when infinite-dimensional. We construct and classify all these self-representatio…
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 remark about weak fillings
Pierre Py
Let be a closed totally real submanifold of , , which is not Lagrangian. We observe that small enough tubular neighborhoods of give exotic examples…
Some noncoherent, nonpositively curved Kähler groups
Pierre Py
If is any nonuniform lattice in the group , let be the quotient of obtained by filling the cusps of (i.e. killing the center of parabolic su…
Coxeter groups and Kähler groups
Pierre Py
We study homomorphisms from Kähler groups to Coxeter groups. As an application, we prove that a cocompact complex hyperbolic lattice (in complex dimension at least 2) does not embe…
An exotic deformation of the hyperbolic space
Nicolas Monod, Pierre Py
On the one hand, we construct a continuous family of non-isometric proper CAT(-1) spaces on which the isometry group of the real hyperbolic -space a…
Kähler groups, real hyperbolic spaces and the Cremona group
Thomas Delzant, Pierre Py
Generalizing a classical theorem of Carlson and Toledo, we prove that any Zariski dense isometric action of a Kähler group on the real hyperbolic space of dimension at least 3 fact…
On continuity of quasi-morphisms for symplectic maps
Michael Entov, Leonid Polterovich, Pierre Py
We discuss -continuous homogeneous quasi-morphisms on the identity component of the group of compactly supported symplectomorphisms of a symplectic manifold. Such quasi-morphi…