Displacement energy of coisotropic submanifolds and Hofer's geometry

TL;DR

This paper establishes a lower bound on the displacement energy of stable coisotropic submanifolds within certain closed symplectic manifolds, linking geometric properties to topological conditions.

Contribution

It proves that the displacement energy of stable coisotropic submanifolds is positively bounded in specific closed symplectic manifolds under mild topological assumptions.

Findings

Displacement energy is bounded away from zero for stable coisotropic submanifolds.

The result applies to closed, rational symplectic manifolds.

Topological conditions influence displacement energy bounds.

Abstract

We prove that the displacement energy of a stable coisotropic submanifold is bounded away from zero if the ambient symplectic manifold is closed, rational and satisfies a mild topological condition.