# A simple construction of an action selector on aspherical symplectic manifolds

## TL;DR

This paper introduces a simpler method for constructing an action selector on aspherical symplectic manifolds, relying solely on Gromov compactness instead of Floer homology, applicable to closed or convex cases.

## Contribution

It provides a more straightforward construction of an action selector on aspherical symplectic manifolds, avoiding complex Floer homology techniques.

## Key findings

- Constructed an action selector using Gromov compactness
- Applicable to closed or convex aspherical symplectic manifolds
- Simplifies previous methods based on Floer homology

## Abstract

We construct an action selector on aspherical symplectic manifolds that are closed or convex. Such selectors have been constructed by Matthias Schwarz using Floer homology. The construction we present here is simpler and uses only Gromov compactness.