Odd type generalized complex structures on 4-manifolds
arXiv:1210.0953 · doi:10.1007/s12220-019-00271-7
Abstract
We prove that a compact smooth 4-manifold admits generalized complex structures of odd type if and only if it has a transversely holomorphic 2-foliation. Consequently, there exist generalized complex structures of odd type on a circle bundle over a closed Seifert fibered 3-manifold.
18 pages; v2: retitled, minor changes
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