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5 papers · 1 filter
On a universal mapping class group of genus zero
Louis Funar, Christophe Kapoudjian
The aim of this paper is to introduce a group containing the mapping class groups of all genus zero surfaces. Roughly speaking, such a group is intended to be a discrete analogue o…
Convergence results for a coarsening model using global linearization
Th. Gallay, A. Mielke
We study a coarsening model describing the dynamics of interfaces in the one-dimensional Allen-Cahn equation. Given a partition of the real line into intervals of length greater th…
The ends of manifolds with bounded geometry, linear growth and finite filling area
Louis Funar, Renata Grimaldi
We prove that simply connected open Riemannian manifolds of bounded geometry, linear growth and sublinear filling growth (e.g. finite filling area) are simply connected at infinity…
A Kawamata-Viehweg Vanishing Theorem on compact Kahler manifolds
Jean-Pierre Demailly, Thomas Peternell
We prove a Kawamata-Viehweg vanishing theorem on a normal compact Kahler space X: if L is a nef line bundle with numerical dimension at least equal to 2, then the q-th cohomology g…
Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices
Bertrand Remy, Mark Ronan
This paper deals with a class of totally disconnected groups acting on buildings, among which are certain Kac-Moody groups. The apartments of our buildings are hyperbolic planes ti…