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arXiv · 1311.2656

Deformations of log-Lagrangian submanifolds of Poisson manifolds

Ziv Ran
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Abstract

We consider Lagrangian-like submanifolds in certain even-dimensional 'symplectic-like' Poisson manifolds. We show, under suitable transversality hypotheses, that the pair consisting of the ambient Poisson manifold and the submanifold has unobstructed deformations and that the deformations automatically preserve the Lagrangian-like property.

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Ziv Ran. 2014-11-17. Deformations of log-Lagrangian submanifolds of Poisson manifolds. https://arxiv.org/abs/1311.2656

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