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

## TL;DR

This paper refines a theorem on the existence of global surfaces of section in dynamical systems, focusing on invariant measures and prescribed orbits, enhancing previous results by Fried.

## Contribution

It introduces a modified theorem that replaces homology directions with invariant measures, providing a more general framework for global surfaces of section.

## Key findings

- Proves a new theorem on global surfaces of section with prescribed orbits.
- Refines Fried's result by using invariant measures instead of homology directions.
- Enhances understanding of dynamical systems with applications to the Schwartzman-Fried-Sullivan theory.

## 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.