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arXiv · 1201.4887

Local classification of generalized complex structures

Michael Bailey
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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. 2013-08-05. Local classification of generalized complex structures. https://arxiv.org/abs/1201.4887

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