Poisson manifolds of strong compact type over 2-tori

Abstract

In arXiv1312.7267, the first non-trivial example of a Poisson manifold of strong compact type is given. The construction uses the theory of K3 surfaces and results in a Poisson manifold with leaf space $S^1$. We modify the construction to obtain a new class of examples. Specifically, we obtain for each strongly integral affine 2-torus a Poisson manifold of strong compact type with said torus as leaf space.

19 pages Updated version with more background, cleaner layout and fixed typos

References in corpus (1)

• Free circle actions with contractible orbits on symplectic manifolds

Cited by in corpus (2)

• Deformations of symplectic groupoids
• Multiplicative Gray stability