Abstract
We show that the category of Hamiltonian covering spaces of a given connected and paracompact symplectic manifold (M, ω) acted canonically upon by a Lie algebra admits a universal covering and covered space.
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Dedicated to Alan Weinstein on the occasion of his 60th birthday.
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© 2005 Birkhäuser Boston
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Ortega, JP., Ratiu, T.S. (2005). The universal covering and covered spaces of a symplectic Lie algebra action. In: Marsden, J.E., Ratiu, T.S. (eds) The Breadth of Symplectic and Poisson Geometry. Progress in Mathematics, vol 232. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4419-9_19
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DOI: https://doi.org/10.1007/0-8176-4419-9_19
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3565-7
Online ISBN: 978-0-8176-4419-2
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