A note presenting a selection of results that are elaborated upon in Cocycle superrigidity and bounded cohomology for negatively curved spaces and Orbit equivalence rigidity and bounded cohomology. Proofs are given for illustrative "toy-cases"
Nombreuses figuresThis paper is a survey of some arithmetic applications of techniques in the geome...
In this work, we study the problem of injectivity of a local di eomorphism on dimension two of the p...
AbstractFor every hyperbolic group and more general hyperbolic graphs, we construct an equivariant i...
In this paper and its companion [MS1], we introduce new techniques and results in an attempt to exte...
We establish new results and introduce new methods in the theory of measurable orbit equivalence, us...
The present paper is concerned with the study of the L² cohomology spaces of negatively curved mani...
We provide several results on the existence of metrics of non-negative sectional curvature on vector...
A selection of aspects of the theory of bounded cohomology is presented. The emphasis is on question...
AbstractIn this expository note, we give a simple conceptual proof of the Hirzebruch proportionality...
New version. We improve our main result, which is now optimalWe give a topological interpretation of...
We explore the geometric rigidity of negatively curved homogeneous spaces. We characterize negativel...
This paper is a survey of some arithmetic applications of techniques in the geometry and ergodic the...
Abstract. We discuss a few of the metrics that are used in complex analysis and potential theory, in...
In this paper, we suppose that $$M$$ is a Riemannian manifold of constant negative curvature under t...
A Riemannian manifold M is called cohomogeneity one if it admits an isometric action by a compact Li...
Nombreuses figuresThis paper is a survey of some arithmetic applications of techniques in the geome...
In this work, we study the problem of injectivity of a local di eomorphism on dimension two of the p...
AbstractFor every hyperbolic group and more general hyperbolic graphs, we construct an equivariant i...
In this paper and its companion [MS1], we introduce new techniques and results in an attempt to exte...
We establish new results and introduce new methods in the theory of measurable orbit equivalence, us...
The present paper is concerned with the study of the L² cohomology spaces of negatively curved mani...
We provide several results on the existence of metrics of non-negative sectional curvature on vector...
A selection of aspects of the theory of bounded cohomology is presented. The emphasis is on question...
AbstractIn this expository note, we give a simple conceptual proof of the Hirzebruch proportionality...
New version. We improve our main result, which is now optimalWe give a topological interpretation of...
We explore the geometric rigidity of negatively curved homogeneous spaces. We characterize negativel...
This paper is a survey of some arithmetic applications of techniques in the geometry and ergodic the...
Abstract. We discuss a few of the metrics that are used in complex analysis and potential theory, in...
In this paper, we suppose that $$M$$ is a Riemannian manifold of constant negative curvature under t...
A Riemannian manifold M is called cohomogeneity one if it admits an isometric action by a compact Li...
Nombreuses figuresThis paper is a survey of some arithmetic applications of techniques in the geome...
In this work, we study the problem of injectivity of a local di eomorphism on dimension two of the p...
AbstractFor every hyperbolic group and more general hyperbolic graphs, we construct an equivariant i...
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