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arXiv · 1312.7329

A note on symplectic topology of $b$-manifolds

Pedro Frejlich·David Martínez Torres·Eva Miranda
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Abstract

A Poisson manifold $(M^{2n},\p)$ is $b$-symplectic if $\bigwedge^n\p$ is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address questions pertaining to $b$-symplectic manifolds. We provide constructions of $b$-symplectic structures on open manifolds by Gromov's $h$-principle, and of $b$-symplectic manifolds with a prescribed singular locus, by means of surgeries.

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Pedro Frejlich, David Martínez Torres, Eva Miranda. 2013-12-27. A note on symplectic topology of $b$-manifolds. https://arxiv.org/abs/1312.7329

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