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Central S1-extensions of symplectic groupoids and
the Poisson classes
Haruo Suzuki |
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Vol. 203 (2002), No. 2, 489–501
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Abstract |
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It is shown that a central extension of a Lie groupoid by an Abelian Lie group A has a principal A-bundle structure and the extended Lie groupoid is classified by an Euler es-class. Then we prove that for a symplectic α-connected, αβ-transversal or α-simply connected groupoid, there exists at most one central S1-extension, the Euler es-class of which corresponds to the Poisson cohomology class of the Poisson manifold of units. |
Milestones
Received: 13 June 2000
Revised: 25 April 2001
Published: 1 April 2002
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Authors |
| Haruo Suzuki | |
| Hokkaido University Sapporo 060-0810 Japan |
7-3-5 Minamimachi Minami-Ku Sapporo 005-0016 Japan |
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