The cohomologies of the Iwasawa manifold and of its small deformations

Abstract

We prove that, for some classes of complex nilmanifolds, the Bott-Chern cohomology is completely determined by the Lie algebra associated to the nilmanifold with the induced complex structure. We use these tools to compute the Bott-Chern and Aeppli cohomologies of the Iwasawa manifold and of its small deformations, completing the computations in arXiv:0709.3528v1 [math.AG] by M. Schweitzer.

to appear in J. Geom. Anal

References in corpus (2)

• Autour de la cohomologie de Bott-Chern
• Geometry of nilmanifolds with left-invariant complex structure and deformations in the large

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