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arxiv: 1006.4224 · v1 · submitted 2010-06-22 · 🧮 math.DG · math.CV

Dolbeault cohomology of nilmanifolds with left-invariant complex structure

classification 🧮 math.DG math.CV
keywords cohomologycomplexdolbeaultleft-invariantnilmanifoldsstructureapplicationscomputed
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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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