An analytic proof of Novikov's theorem on rational Pontrjagin classes
type: Item
instance of: scholarly article
title: An analytic proof of Novikov's theorem on rational Pontrjagin classes
zbMATH Open document ID: 0531.58045
DOI: 10.1007/BF02953773
author: Nicolae Teleman
author: Dennis Sullivan
published in: Publications Mathématiques
publication date: 1983-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/103995
review text: The authors give an analytic proof of topological invariance of rational Pontryagin classes of a compact smooth manifold. The proof is a consequence of the second author's results on signature operators on Lipschitz manifolds (see the preceding review) combined with the first author's theorem [Geometric topology, Proc. Conf., Athens/Ga. 1977, 543- 555 (1979; Zbl 0478.57007)] on existence of an essentially unique Lipschitz structure on any topological manifold of dimension 4.
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 57N65
Mathematics Subject Classification ID: 58J22
Mathematics Subject Classification ID: 57Q99
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 3842839
zbMATH Keywords: Lipschitz invariant
zbMATH Keywords: signature operator
zbMATH Keywords: topological 4-manifold
zbMATH Keywords: ZFM 531.58044
zbMATH Keywords: Lipschitz structure
MaRDI profile type: Publication
cites work: The index of elliptic operators. III
cites work: Characteristic Classes. (AM-76)
cites work: Q5523451
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cites work: Lipschitz and quasiconformal approximation and extension
cites work: Quasiconformal extension from dimension n to n+1
description: scientific article; zbMATH DE number 3842839