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

Sandon, Sheila

Annales de l'Institut Fourier, Tome 61 (2011) no. 1, pp. 145-185.

Inspirés par le travail de Bhupal, nous étendons à la géométrie de contact la notion de capacité de Viterbo ainsi que la construction, dûe à Traynor, d’homologie symplectique. Comme application, nous obtenons une démonstration alternative du Théorème de Non-Tassement d’Eliashberg, Kim et Polterovitch.

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.

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