Group actions and equivariant Lipschitz analysis

DOI10.1090/S0273-0979-1987-15525-XzbMath0621.57018OpenAlexW2034630243MaRDI QIDQ3757007

Mel Rothenberg, Shmuel Weinberger

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1987-15525-x

zbMATH Keywords

Reidemeister torsiontopological manifoldsLipschitz structuresequivariant signature operatorG-manifolds with group actionstopological invariance of characteristic classes

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Equivariant homology and cohomology in algebraic topology (55N91) Finite transformation groups (57S17) Topological (K)-theory (55N15) Topological manifolds (57N99)

Related Items (8)

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) ⋮ Topological Orbifolds ⋮ Lipschitz and quasiconformal approximation of homeomorphism pairs ⋮ Higher \(G\)-signatures for Lipschitz manifolds ⋮ On the construction and topological invariance of the Pontryagin classes

Cites Work

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• The index of signature operators on Lipschitz manifolds
• Ends of Maps. II
• The index theorem for topological manifolds
• Non-linear similarity
• Analytic torsion and R-torsion of Riemannian manifolds
• When are topologically equivalent orthogonal transformations linearly equivalent?
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• R-torsion and the Laplacian on Riemannian manifolds
• On the classification of 𝐺-spheres
• The lipschitz rationality of linear representations

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