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.
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.
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
@article{AIF_2011__61_1_145_0, 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}, pages = {145--185}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {61}, number = {1}, year = {2011}, doi = {10.5802/aif.2600}, zbl = {1222.53091}, mrnumber = {2828129}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2600/} }
TY - JOUR AU - Sandon, Sheila TI - Contact Homology, Capacity and Non-Squeezing in $\mathbb{R}^{2n}\times S^{1}$ via Generating Functions JO - Annales de l'Institut Fourier PY - 2011 SP - 145 EP - 185 VL - 61 IS - 1 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2600/ DO - 10.5802/aif.2600 LA - en ID - AIF_2011__61_1_145_0 ER -
%0 Journal Article %A Sandon, Sheila %T Contact Homology, Capacity and Non-Squeezing in $\mathbb{R}^{2n}\times S^{1}$ via Generating Functions %J Annales de l'Institut Fourier %D 2011 %P 145-185 %V 61 %N 1 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2600/ %R 10.5802/aif.2600 %G en %F 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, Volume 61 (2011) no. 1, pp. 145-185. doi : 10.5802/aif.2600. http://archive.numdam.org/articles/10.5802/aif.2600/
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