2 papers
math.SG2001
Contact Reduction
Christopher Willett
In this article I propose a new method for reducing a co-oriented contact manifold M equipped with an action of a Lie group G by contact transformations. With a certain regularity…
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…