Flat Bundles with Solvable Holonomy. II. Obstruction Theory

DOI10.2307/2043917zbMath0483.55012OpenAlexW4246790109MaRDI QIDQ3942060

William M. Goldman

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043917

zbMATH Keywords

classifying space for principal G-bundlesflat principal G-bundlesimply connected derived groupsolvable Lie groups whose derived group is not simply connectedunbounded cohomology classesvirtually trivial vector bundles

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Nilpotent and solvable Lie groups (22E25) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Fiber bundles in algebraic topology (55R10)

Related Items (4)

Topological components of spaces of representations ⋮ A geometric criterion for the boundedness of characteristic classes ⋮ Volume invariant and maximal representations of discrete subgroups of Lie groups ⋮ Characteristic classes and representations of discrete subgroups of Lie groups

Cites Work

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• Volume and bounded cohomology
• A generalization of Milnor's inequality concerning affine foliations and affine manifolds
• Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
• On the existence of a connection with curvature zero
• Fundamentalgruppe und zweite Bettische Gruppe
• Flat Bundles with Solvable Holonomy

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