A Poisson manifold of strong compact type |
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Affiliation: | Departamento de Matemática, PUC-Rio, R. Mq. S. Vicente 225, Rio de Janeiro 22451-900, Brazil |
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Abstract: | We construct a corank one Poisson manifold which is of strong compact type, i.e., the associated Lie algebroid structure on its cotangent bundle is integrable, and the source 1-connected (symplectic) integration is compact. The construction relies on the geometry of the moduli space of marked K3 surfaces. |
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Keywords: | Poisson geometry Lie groupoid K3 surface |
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