The index theorem for topological manifolds

DOI10.1007/BF02392376zbMath0547.58036WikidataQ56226499 ScholiaQ56226499MaRDI QIDQ799008

Nicolae Teleman

Publication date: 1984

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

cobordismAtiyah-Singer index formulasignature operatorsindex formula for signature operators

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22) Differential topological aspects of diffeomorphisms (57R50)

Related Items

Localization of topological Pontryagin classes via finite propagation speed, Transversality and the index theorem, Pontryagin forms for manifolds with framed singular strata, An equivariant Novikov conjecture, Higher $G$-indices and applications, Analytic formulas for topological degree of non-smooth mappings: the even-dimensional case, Applying the index theorem to non-smooth operators, Group actions and equivariant Lipschitz analysis, Covariant star product on semi-conformally flat noncommutative Calabi–Yau manifolds and noncommutative topological index theorem, Asymptotically quasiconformal four manifolds, Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds), Quasiconformal 4-manifolds, Mapping the surgery exact sequence for topological manifolds to analysis, Higher \(G\)-signatures for Lipschitz manifolds, On the nature of the Laplace-Beltrami operator on Lipschitz manifolds, Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds, Quasiregular mappings in even dimensions, Unnamed Item, Moduli spaces over manifolds with involutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analytic proof of Novikov's theorem on rational Pontrjagin classes
• Combinatorial Hodge theory and signature operator
• Riemann-Roch for singular varieties
• Extensions of \(C^*\)-algebras and \(K\)-homology
• The index of elliptic operators. III
• Lipschitz and quasiconformal approximation and extension
• Global Analysis on PL-Manifolds
• Quasisymmetric and Lipschitz approximation of embeddings
• TOPOLOGICAL INVARIANTS OF ELLIPTIC OPERATORS. I:K-HOMOLOGY
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Seminar on Atiyah-Singer Index Theorem. (AM-57)