A note on Schwartzman-Fried-Sullivan Theory, with an application
Dynamical Systems
2020-01-20 v4 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1904.12416,
title = {A note on Schwartzman-Fried-Sullivan Theory, with an application},
author = {Umberto L. Hryniewicz},
journal= {arXiv preprint arXiv:1904.12416},
year = {2020}
}
Comments
16 pages; in v4 we make small corrections pointed out by the referee, and also add more details to the proofs