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Transverse Geometry and Generalized Complex Structures

Volume 9, Number 2 (2010), 139 - 149

Transverse Geometry and Generalized Complex Structures

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Abstract

Transversal generalized complex structures provide a framework unifying both transversely holomorphic foliations and generalized complex geometry. In this paper, we give characterizations of transversal generalized complex structures. Moreover, a natural extension of the basic Dolbeault cohomology is obtained.