SYMPLECTIC TOPOLOGY OF b-SYMPLECTIC MANIFOLDS
نویسندگان
چکیده
A Poisson manifold (M2n, π) is b-symplectic if ∧n π 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 à 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.
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تاریخ انتشار 2013