no. 1
Contact Homology, Capacity and Non-Squeezing in ℝ 2n ×S 1 via Generating Functions
[Homologie, capacité et non tassement en géométrie de contact sur ℝ 2n ×S 1 , comme application des fonctions génératrices]
Sandon, Sheila1
1 Instituto Superior Técnico Departamento de Matemática Av. Rovisco Pais 1049-001 Lisboa (Portugal)
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.

DOI : 10.5802/aif.2600
Classification : 53D35
Keywords: Contact non-squeezing, contact capacity, contact homology, orderability of contact manifolds, generating functions
Mot clés : non tassement de contact, capacité de contact, homologie de contact, ordonnabilité des varitétés de contact, fonctions génératrices

Sandon, Sheila 1

1 Instituto Superior Técnico Departamento de Matemática Av. Rovisco Pais 1049-001 Lisboa (Portugal) 
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Sandon, Sheila. Contact Homology, Capacity and Non-Squeezing in $\mathbb{R}^{2n}\times S^{1}$ via Generating Functions. Annales de l'Institut Fourier, Tome 61 (2011) no. 1, pp. 145-185. doi : 10.5802/aif.2600. https://aif.centre-mersenne.org/articles/10.5802/aif.2600/

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