255 citations · 926 across the 27 of their papers we have counts for
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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★ 121 cited
Generalized complex structures on nilmanifolds
Gil R. Cavalcanti, Marco Gualtieri
We show that all 6-dimensional nilmanifolds admit generalized complex structures. This includes the five classes of nilmanifold which admit no known complex or symplectic structure…
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…