Lagrangian Hofer-Zehnder Capacities and Energy-Capacity Inequalities

TL;DR

This paper introduces a new coisotropic Hofer-Zehnder capacity and demonstrates its application in establishing an energy-capacity inequality for displaceable Lagrangian submanifolds.

Contribution

It presents a novel coisotropic Hofer-Zehnder capacity and applies it to prove an energy-capacity inequality for displaceable Lagrangians.

Findings

Introduction of a new coisotropic Hofer-Zehnder capacity

Proof of an energy-capacity inequality for displaceable Lagrangians

Advancement in symplectic capacity theory

Abstract

We introduce a new coisotropic Hofer-Zehnder capacity and use it to prove an energy-capacity inequality for displaceable Lagrangians.