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Contact Homology, Capacity and Non-Squeezing in \mathbb{R}^{2n}\times S^{1} via Generating Functions
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.