Special Session 126: 

Equidistribution of holonomy in homology classes

Richard Sharp
Warwick University
England
Co-Author(s):    
Abstract:
For a compact group extension of an Anosov flow, we establish conditions under which the holonomies of periodic orbits are equidistributed when the orbits are restricted to a prescribed homology class. In particular, this applies to geodesic flows in negative curvature when the corresponding frame flow is ergodic.