The Topological Structure of Contact and Symplectic Quotients

Details The Topological Structure of Contact and Symplectic Quotients The Topological Structure of Contact and Symplectic Quotients

2000-08-22

arxiv.org/abs/math/0008178v1

Mathematics

Symplectic Geometry

13 pages

Scientific paper

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 sense that a neighborhood of a point in the quotient is a product of a disk with a cone on a compact stratified space). As a corollary, we obtain that symplectic quotients for proper Hamiltonian actions are topologically stratified spaces in this strong sense thereby extending and simplifying previous work.

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