Dolbeault cohomology of nilmanifolds with left-invariant complex structure

Details Dolbeault cohomology of nilmanifolds with left-invariant complex structure Dolbeault cohomology of nilmanifolds with left-invariant complex structure

2010-06-22

arxiv.org/abs/1006.4224v1

Mathematics

Differential Geometry

17 pages, to appear in the Proceedings of the Hannover conference on "Complex and Differential Geometry" 14-18 September 2009

Scientific paper

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.

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