2 papers
math.DG2004★ 55 cited
Generalized geometry and the Hodge decomposition
Marco Gualtieri
In this lecture, we review some of the concepts of generalized geometry, as introduced by Hitchin and developed in the speaker's thesis. We also prove a Hodge decomposition for the…
math.DG2004★ 158 cited
Generalized complex geometry
Marco Gualtieri
Generalized complex geometry, as developed by Hitchin, contains complex and symplectic geometry as its extremal special cases. In this thesis, we explore novel phenomena exhibited…