Local classification of generalized complex structures

Details Local classification of generalized complex structures Local classification of generalized complex structures

2012-01-23

arxiv.org/abs/1201.4887v2

Mathematics

Differential Geometry

29 pages, adapted from Ph.D. thesis; v2 changes: retitled, shortened abstract, corrected typos, changed formatting

Scientific paper

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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