Shranjeno v:
| Glavni avtor: | |
|---|---|
| Format: | Preprint |
| Izdano: |
2005
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| Teme: | |
| Online dostop: | https://arxiv.org/abs/math/0505158 |
| Oznake: |
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Kazalo:
- Lie algebroids can not always be integrated into Lie groupoids. We introduce a new object--``Weinstein groupoid'', which is a differentiable stack with groupoid-like axioms. With it, we have solved the integration problem of Lie algebroids. It turns out that every Weinstein groupoid has a Lie algebroid, and every Lie algebroid can be integrated into a Weinstein groupoid. Furthermore, we apply this general result to Jacobi manifolds and construct contact groupoids for Jacobi manifolds. There are further applications in prequantization and integrability of Poisson bivectors.