Algebraic aspects of the Hirzebruch signature operator and applications to transitive Lie algebroids

DOI10.1134/S1061920809030108zbMath1183.58020WikidataQ124947508 ScholiaQ124947508MaRDI QIDQ1033874

Jan Kubarski, A. S. Mishchenko

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebroidHirzebruch signature operator

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Hodge theory in global analysis (58A14)

Cites Work

• Nondegenerate cohomology pairing for transitive Lie algebroids, characterization
• Symplectic geometry and secondary characteristic classes
• Novikov's higher signature and families of elliptic operators
• Cohomology of Lie algebras
• On the Index of a Fibered Manifold
• Lie algebroids: spectral sequences and signature
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