Local classification of generalized complex structures

Published 23 Jan 2012 in math.DG and math.SG | (1201.4887v4)

Abstract: We give a local classification of generalized complex structures. About a point, a generalized complex structure is equivalent to a product of a symplectic manifold with a holomorphic Poisson manifold. We use a Nash-Moser type argument in the style of Conn's linearization theorem.

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Michael Bailey

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