Abstract
We provide a new construction of generalized complex manifolds by every logarithmic transformations. Applying a technique of broken Lefschetz fibrations, we obtain twisted generalized complex structures with arbitrary large numbers of connected components of type changing loci on the manifold which is obtained from a symplectic manifold by logarithmic transformations of multiplicity 0 on a symplectic 2-torus with trivial normal bundle. Elliptic surfaces with non-zero euler characteristic and the connected sums (2m 1)S 2 × S 2 , (2m 1)CP 2 #lCP 2 and S 1 × S 3 admit twisted generalized complex structures Jn with n type changing loci for arbitrary large n.
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