The Topological Structure of Contact and Symplectic Quotients

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dc.creatorLerman, Eugene
dc.creatorWillett, Christopher
dc.date2000-08-22
dc.date.accessioned2026-07-07T04:36:56Z
dc.date.available2026-07-07T04:36:56Z
dc.descriptionWe 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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0008178
dc.identifierhttp://arxiv.org/abs/math/0008178
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59784
dc.subjectSymplectic Geometry
dc.titleThe Topological Structure of Contact and Symplectic Quotients
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