Symplectic topology of b-symplectic manifolds
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A Poisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques of Symplectic Topology to address global questions pertaining to b-symplectic manifolds. The main results provide constructions of: b-symplectic submanifolds a la Donaldson, 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.
CitationMiranda, E.; MARTINEZ, D.; Frejlich, P. "Symplectic topology of b-symplectic manifolds". 2013.