de Rham and Dolbeault cohomology of solvmanifolds with local systems

DOI10.4310/MRL.2014.v21.n4.a10zbMath1314.17010arXiv1207.3988MaRDI QIDQ481140

Hisashi Kasuya

Publication date: 12 December 2014

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3988

zbMATH Keywords

de Rham cohomologyLie algebra cohomologyDolbeault cohomologysolvmanifoldlocal system

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) de Rham theory in global analysis (58A12) Nilpotent and solvable Lie groups (22E25) Cohomology of Lie (super)algebras (17B56)

Related Items (12)

Locally conformal Hermitian metrics on complex non-Kähler manifolds ⋮ An extention of Nomizu's theorem -- a user's guide -- ⋮ Cohomologies of Sasakian groups and Sasakian solvmanifolds ⋮ On de Rham and Dolbeault cohomology of solvmanifolds ⋮ Non-invariant deformations of left-invariant complex structures on compact Lie groups ⋮ Bott-Chern cohomology of solvmanifolds ⋮ Cohomology of holomorphic line bundles and Hodge symmetry on Oeljeklaus-Toma manifolds ⋮ Frölicher spectral sequence and Hodge structures on the cohomology of complex parallelisable manifolds ⋮ Generalized deformations and holomorphic Poisson cohomology of solvmanifolds ⋮ The Frölicher spectral sequence of certain solvmanifolds ⋮ Singularity of the varieties of representations of lattices in solvable Lie groups ⋮ Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory

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