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Created July 19, 2012 04:38
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mgualt-post-0.org

If the ssc groupoid integrating a Poisson Lie algebroid exists, then it is a symplectic groupoid. But the other groupoids in the category of integrations are not necessarily symplectic, as the symplectic form on the ssc groupoid may not descend to the various possible quotients.

For example (from Henrique), take $T^* S^3 = S^3× \mathbb{R}^3$, which is clearly symplectic, and compare it to $S^3× T^3$, which admits no symplectic form.

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mgualt commented Jul 21, 2012

this is a comment

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mgualt commented Jul 21, 2012

what about this comment

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