Equivariant Homology of Generating Functions and Orderability of Lens Spaces

Abstract

In her PhD thesis Milin developed an equivariant version of the contact homology groups constructed by Eliashberg, Kim and Polterovich and used it to prove an equivariant contact non-squeezing theorem. In this article we re-obtain the same result in the setting of generating functions, starting from the homology groups studied in arXiv:0901.3112. As Milin showed, this result implies orderability of lens spaces.

16 pages, final version

References in corpus (2)

• Non-negative Legendrian isotopy in $S{T}^{\ast }M$
• Contact Homology, Capacity and Non-Squeezing in R^2n x S^1 via Generating Functions

Cited by in corpus (1)

• Contact spectral invariants and persistence