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Hyperbolicity as an obstruction to smoothability for one-dimensional actions
Related publications (33)
Hyperbolic representations of PU(1,n)
Gonzalo Emiliano Ruiz Stolowicz
The work is about the study of group representations in the group of isometries of a separable complex hyperbolic space. The main part is the classification of the representations of the group of isometries of a finite dimensional complex hyperbolic spa ...
EPFL2023A DONALDSON-THOMAS CREPANT RESOLUTION CONJECTURE ON CALABI-YAU 4-FOLDS
Let G be a finite subgroup of SU(4) such that its elements have age at most one. In the first part of this paper, we define K-theoretic stable pair invariants on a crepant resolution of the affine quotient C4/G, and conjecture a closed formula for their ge ...
Providence2023Subgroups of elliptic elements of the Cremona group
The Cremona group is the group of birational transformations of the complex projective plane. In this paper we classify its subgroups that consist only of elliptic elements using elementary model theory. This yields in particular a description of the struc ...
2021Uniformly perfect finitely generated simple left orderable groups
We show that the finitely generated simple left orderable groups G(rho) constructed by the first two authors in Hyde and Lodha [Finitely generated infinite simple groups of homeomorphisms of the real line. Invent. Math. (2019), doi:10.1007/s00222-01900880- ...
CAMBRIDGE UNIV PRESS2021Coherent actions by homeomorphisms on the real line or an interval
We study actions of groups by orientation preserving homeomorphisms on R (or an interval) that are minimal, have solvable germs at +/-infinity and contain a pair of elements of a certain dynamical type. We call such actions coherent. We establish that such ...
HEBREW UNIV MAGNES PRESS2020Asymptotics of Cheeger constants and unitarisability of groups
Nicolas Monod, Maria Gerasimova
Given a group Gamma, we establish a connection between the unitarisability of its uniformly bounded representations and the asymptotic behaviour of the isoperimetric constants of Cayley graphs of Gamma for increasingly large generating sets. The connection ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2020Approximating nonabelian free groups by groups of homeomorphisms of the real line
We show that for a large class C of finitely generated groups of orientation preserving homeomorphisms of the real line, the following holds: Given a group G of rank k in C, there is a sequence of k-markings (G,S-n), n is an element of N whose limit in the ...
2020An upper bound for the Tarski numbers of nonamenable groups of piecewise projective homeomorphisms
The Tarski number of a nonamenable group is the smallest number of pieces needed for a paradoxical decomposition of the group. Nonamenable groups of piecewise projective homeomorphisms were introduced in [N. Monod, Groups of piecewise projective homeomorph ...
World Scientific Publ Co Pte Ltd2017Endo-trivial modules: a reduction to p'-central extensions
Jacques Thévenaz, Caroline Lassueur
We examine how, in prime characteristic p, the group of endotrivial modules of a finite group G and the group of endotrivial modules of a quotient of G modulo a normal subgroup of order prime to p are related. There is always an inflation map, but examples ...
2017Restriction of irreducible modules for Spin2+1(K) to Spin2(K)
Let K be an algebraically closed field of characteristic and let be a simply connected simple algebraic group of type over . Also let be the subgroup of type , embedded in in the usual way, as the ...
2017