Thurston's h-principle and Flexibility of Poisson Structures

Sauvik Mukherjee

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arXiv · 1611.09554

Thurston's h-principle and Flexibility of Poisson Structures

Sauvik Mukherjee

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Abstract

We prove an analogue of Thurston's h-principle for $2$-dimensional foliations on manifolds of dimension bigger or equal to $4$, in the presence of a fiber-wise non-degenerate $2$-form. This helps us understand the flexibility of rank $2$ regular Poisson structures on open manifolds with dimension bigger or equal to $4$ and it also helps us understand the flexibility of Poisson structures (not regular) on closed $4$-manifolds.

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Sauvik Mukherjee. 2016-11-29. Thurston's h-principle and Flexibility of Poisson Structures. https://arxiv.org/abs/1611.09554

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