A note on Schwartzman-Fried-Sullivan Theory, with an application

Abstract

We prove a theorem on the existence of global surfaces of section with prescribed spanning orbits and homology class. This result is a modification and a refinement of a result due to Fried, recast in terms of invariant measures instead of homology directions.

16 pages; in v4 we make small corrections pointed out by the referee, and also add more details to the proofs