Dolbeault cohomology of nilmanifolds with left-invariant complex structure
arXiv:1006.4224
Abstract
We discuss the known evidence for the conjecture that the Dolbeault cohomology of nilmanifolds with left-invariant complex structure can be computed as Lie-algebra cohomology and also mention some applications.
17 pages, to appear in the Proceedings of the Hannover conference on "Complex and Differential Geometry" 14-18 September 2009