On cohomological decomposition of generalized-complex structures

Abstract

We study properties concerning decomposition in cohomology by means of generalized-complex structures. This notion includes the ${\mathcal{C}}^{\infty }$-pure-and-fullness introduced by Li and Zhang in the complex case and the Hard Lefschetz Condition in the symplectic case. Explicit examples on the moduli space of the Iwasawa manifold are investigated.

References in corpus (4)

• The cohomologies of the Iwasawa manifold and of its small deformations
• New aspects of the ddc-lemma
• On the cohomology of almost-complex manifolds
• Symplectic manifolds and cohomological decomposition

Cited by in corpus (1)

• Cohomologies of generalized complex manifolds and nilmanifolds