Contact Homology, Capacity and Non-Squeezing in R²n x S¹ via Generating Functions

2009/01/31 by Sheila Sandon · 5 citations
Mathematics · #math.SG #math.GT

paper · pdf

published as Ann. Inst. Fourier, Grenoble 61 (2011) 145-185 · Revised version, to appear in the Annales de l'Institut Fourier

arxiv created 2009/12/16 · arxiv updated 2011/10/24

Abstract

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.

Cited by

• On flat translated chains of contactomorphisms of ℝ²ⁿ⁺¹ and ℝ²ⁿ × S¹
• An integer valued bi-invariant metric on the group of contactomorphisms of R²n x S¹
• Equivariant Homology of Generating Functions and Orderability of Lens Spaces
• On iterated translated points for contactomorphisms of R²ⁿ⁺¹ and R²ⁿ x S¹
• A survey on orderability and contact non-squeezing