Contact cuts
arXiv:math/0002041
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.
(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