Work

Ends of unimodular random manifolds

Year: 2016

Type: article

Abstract: We describe the space of ends of a unimodular random manifold , a random object that generalizes finite volume manifolds, random leaves of measured foliations and invariant random subgroups of isometry groups of Riemannian manifolds. As an application, we give a quick proof of a variant of a theorem of E. Ghys (1995) on the topology of random leaves.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/13531

Authors: Ian Biringer, Jean Raimbault

Institutions: Boston College, Université Toulouse III - Paul Sabatier, Institut de Mathématiques de Toulouse

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Université de Toulouse

Awards: G1107417083, Geometry of manifolds with large volume