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.
arXiv Mathematics e-prints
- Pub Date:
- February 2000
- Mathematics - Symplectic Geometry;
- Mathematics - Differential Geometry
- (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