ar X iv : m at h / 03 04 27 8 v 2 [ m at h . G R ] 1 5 M ay 2 00 3 IDEAL BICOMBINGS FOR HYPERBOLIC GROUPSAND APPLICATIONS
نویسنده
چکیده
For every hyperbolic group and more general hyperbolic graphs, we construct an equivariant ideal bicombing: this is a homological analogue of the geodesic flow on negatively curved manifolds. We then construct a cohomological invariant which implies that several Measure Equivalence and Orbit Equivalence rigidity results established in [MSb] hold for all non-elementary hyperbolic groups and their non-elementary subgroups. We also derive superrigidity results for actions of general irreducible lattices on a large class of hyperbolic metric spaces.
منابع مشابه
ar X iv : m at h / 03 04 27 8 v 1 [ m at h . G R ] 1 9 A pr 2 00 3 IDEAL BICOMBINGS FOR HYPERBOLIC GROUPS AND APPLICATIONS
For every hyperbolic group, we construct an ideal bicombing: this is a homological analogue of the geodesic flow on negatively curved manifolds. We then construct a cohomological invariant which implies that several Measure Equivalence and Orbit Equivalence rigidity results established in [26] hold for all non-elementary hyperbolic groups and their non-elementary subgroups. For any subgroup Γ o...
متن کاملar X iv : h ep - p h / 04 05 03 9 v 1 5 M ay 2 00 4 η , η ′ → π + π − γ with coupled channels
متن کامل
ar X iv : h ep - t h / 03 05 03 7 v 1 5 M ay 2 00 3 FORMS ON VECTOR BUNDLES OVER COMPACT REAL HYPERBOLIC MANIFOLDS
We study gauge theories based on abelian p− forms on real compact hyperbolic manifolds. The tensor kernel trace formula and the spectral functions associated with free generalized gauge fields are analyzed.
متن کامل