Finiteness of ${\pi }_1$-sensitive Hofer-Zehnder capacity and equivariant loop space homology

Urs Frauenfelder, Andrei Pajitnov

We prove that if M is a closed, connected, oriented, rationally inessential manifold, then the Hofer-Zehnder capacity of the unit disk bundle of the cotangent bundle of M is finite…