Contact cuts
Symplectic Geometry
2007-05-23 v2 Differential Geometry
Abstract
We describe a contact analog of the symplectic cut construction. As an application we show that the group of contactomorphisms for a particular overtwisted contact structure on the three sphere contains countably many nonconjugate two tori.
Cite
@article{arxiv.math/0002041,
title = {Contact cuts},
author = {Eugene Lerman},
journal= {arXiv preprint arXiv:math/0002041},
year = {2007}
}
Comments
(v2) Following referee's suggestions the paper is expanded. The local cut construction is made more precise. A theorem concerning the group of contactomorphisms of certain overtwisted lens spaces is added