Cohomology of solvable Lie algebras and solvmanifolds

DOI10.1007/s11006-005-0006-2zbMath1085.17013OpenAlexW2005899905MaRDI QIDQ2387826

Dmitry V. Millionshchikov

Publication date: 5 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0006-2

zbMATH Keywords

cohomologysolvmanifoldsMorse-Novikov theory

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30) Algebraic topology on manifolds and differential topology (57R19)

Related Items (8)

Locally conformally Kähler solvmanifolds: a survey ⋮ Cohomologies of locally conformally symplectic manifolds and solvmanifolds ⋮ Morse-Novikov cohomology for blow-ups of complex manifolds ⋮ Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures ⋮ Taylor spectrum for modules over Lie algebras ⋮ Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations ⋮ The cohomology of filiform Lie algebras of maximal rank ⋮ Locally conformal symplectic structures on Lie algebras of type I and their solvmanifolds

Cites Work

• Cohomology of topological groups and solvmanifolds
• Supersymmetry and Morse theory
• Factor spaces of solvable groups
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Cohomology with local coefficients of certain nilmanifolds
• Cohomology of nilmanifolds and Goncharova's theorem
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