Contact homology, capacity and non-squeezing in ℝ2n × S1 via generating functions

Abstract

Starting from the work of Bhupal we extend to the contact case the Viterbo capacity and Traynor's construction of symplectic homology. As an application we get a new proof of the Non-Squeezing Theorem of Eliashberg, Kim and Polterovich. © Association des Annales de l'institut Fourier, 2011, tous droits réservés.