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, Sheila
Annales de l'Institut Fourier, Tome 61 (2011), p. 145-185 / Harvested from Numdam
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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.

Publié le : 2011-01-01
DOI : https://doi.org/10.5802/aif.2600
Classification:  53D35
Mots clés: non tassement de contact, capacité de contact, homologie de contact, ordonnabilité des varitétés de contact, fonctions génératrices 
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     author = {Sandon, Sheila},
     title = {Contact Homology, Capacity and Non-Squeezing in $\mathbb{R}^{2n}\times S^{1}$ via Generating Functions},
     journal = {Annales de l'Institut Fourier},
     volume = {61},
     year = {2011},
     pages = {145-185},
     doi = {10.5802/aif.2600},
     zbl = {1222.53091},
     mrnumber = {2828129},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2011__61_1_145_0}
}

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) pp. 145-185. doi : 10.5802/aif.2600. http://gdmltest.u-ga.fr/item/AIF_2011__61_1_145_0/

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