Contact Homology, Capacity and Non-Squeezing in R^2n x S^1 via Generating Functions

By Sheila Sandon. 2009

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1659dbd5a8b63fd6be40c6c4a09b3181d9fe6334