Higher $G$-indices and applications

DOI10.24033/asens.1565zbMath0693.58024OpenAlexW118488205MaRDI QIDQ3468342

Shmuel Weinberger, Jonathan M. Rosenberg

Publication date: 1988

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1988_4_21_4_479_0

zbMATH Keywords

index theoryG-invariant elliptic operator

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22)

Related Items (11)

An equivariant Novikov conjecture ⋮ The classification of nonlinear similarities over 𝑍_{2^{𝑟}} ⋮ G-signatures and cyclotomic units ⋮ Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds) ⋮ S1-Equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera ⋮ Higher invariants in noncommutative geometry ⋮ Topological Orbifolds ⋮ Equivariant spin bordism in low dimensions ⋮ Equivariant Novikov conjecture for groups acting on Euclidean buildings ⋮ Higher \(G\)-signatures for Lipschitz manifolds ⋮ Topological obstructions to certain Lie group actions on manifolds

Cites Work

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• C*-algebras, positive scalar curvature, and the Novikov conjecture
• Differentiable periodic maps. 2nd ed
• The index of signature operators on Lipschitz manifolds
• The index theorem for topological manifolds
• G-actions and the fundamental group
• \(C^ *\)-algebras, positive scalar curvature, and the Novikov conjecture. III
• Equivariant KK-theory and the Novikov conjecture
• Circle actions on spin manifolds and characteristic numbers
• Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
• On homotopy invariance of higher signatures
• The index of elliptic operators. III
• Equivariant K-theory
• Equivariant \(K\)-theory and completion
• Group actions and higher signatures
• Group actions and higher signatures, II
• HERMITIANK-THEORY. THE THEORY OF CHARACTERISTIC CLASSES AND METHODS OF FUNCTIONAL ANALYSIS
• THE INDEX OF ELLIPTIC OPERATORS OVERC*-ALGEBRAS
• THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS
• On Simply-Connected 4-Manifolds
• HOMOTOPY INVARIANTS OF NONSIMPLY CONNECTED MANIFOLDS. I RATIONAL INVARIANTS

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