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.
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 = {https://www.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 - https://www.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 https://www.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, Tome 61 (2011) no. 1, pp. 145-185. doi : 10.5802/aif.2600. https://www.numdam.org/articles/10.5802/aif.2600/
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