Finiteness of $\pi_1$-sensitive Hofer-Zehnder capacity and equivariant   loop space homology
  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. 
Urs Frauenfelder and Andrei Pajitnov
math.SG math.AT math.DG