Equivariant Homology of Generating Functions and Orderability of Lens Spaces

Details Equivariant Homology of Generating Functions and Orderability of Lens Spaces Equivariant Homology of Generating Functions and Orderability of Lens Spaces

2010-03-02

arxiv.org/abs/1003.0690v2

J. Symplectic Geom. 9 (2011) 123-146

Mathematics

Symplectic Geometry

16 pages, final version

Scientific paper

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.

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