双曲群的理想双梳及其应用
Ideal bicombings for hyperbolic groups and applications
摘要：
对于每一个双曲群和更一般的双曲图，我们构造了一个等变理想双梳：这是负曲流形上的测地流的同调模拟。然后，我们构建了一个上同调不变量，这意味着几个测量等价和轨道等价刚性的结果建立了Monod-Shalom举行的所有非初等双曲群及其非初等子群。我们还得到了一般不可约格在一大类双曲度量空间上作用的超刚性结果。
英文摘要：
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 by Monod-Shalom 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
