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math.SG2000
A convexity theorem for torus actions on contact manifolds
Eugene Lerman
We show that the cone associated with a moment map for an action of a torus on a contact compact connected manifold is a convex polyhedral cone and that the moment map has connecte…
math.SG2000
The Topological Structure of Contact and Symplectic Quotients
Eugene Lerman, Christopher Willett
We show that if a Lie group acts properly on a co-oriented contact manifold preserving the contact structure, then the contact quotient is topologically a stratified space (in the…
math.SG2000
Contact cuts
Eugene Lerman
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…