An analytic proof of Novikov's theorem on rational Pontrjagin classes

DOI10.1007/BF02953773zbMath0531.58045MaRDI QIDQ788365

Nicolae Teleman, Dennis Sullivan

Publication date: 1983

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1983__58__79_0

zbMATH Keywords

signature operatortopological 4-manifoldLipschitz structureLipschitz invariantZFM 531.58044

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22) Algebraic topology of manifolds (57N65) PL-topology (57Q99)

Related Items (11)

Localization of topological Pontryagin classes via finite propagation speed ⋮ Transversality and the index theorem ⋮ Fonctorialité en K-théorie bivariante pour les variétés lipschitziennes. (Functoriality in the bivariant K-theory for Lipschitz manifolds) ⋮ Mapping the surgery exact sequence for topological manifolds to analysis ⋮ The algebra of piecewise differentiable currents on smooth manifolds ⋮ Michael Atiyah’s work in algebraic topology ⋮ Hodge decompositions with mixed boundary conditions and applications to partial differential equations on Lipschitz manifolds ⋮ On the construction and topological invariance of the Pontryagin classes ⋮ A compact imbedding result on Lipschitz manifolds ⋮ The index theorem for topological manifolds ⋮ Fredholm operators on locally compact spaces

Cites Work

• Quasiconformal extension from dimension n to n+1
• The index of elliptic operators. III
• Lipschitz and quasiconformal approximation and extension
• Characteristic Classes. (AM-76)
• Unnamed Item
• Unnamed Item

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