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Zbl 0531.58045
Sullivan, D.; Teleman, N.
An analytic proof of Novikov's theorem on rational Pontrjagin classes. (English)
[J] Publ. Math., Inst. Hautes Étud. Sci. 58, 291-293 (1983). ISSN 0073-8301; ISSN 1618-1913/e

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.
[J.Dodziuk]

MSC 2000:: *58J20 Index theory and related fixed point theorems
57R20 Characteristic classes and numbers
57N65 Algebraic topology of manifolds
58J22 Exotic index theories
57Q99 PL-topology
47A53 (Semi-)Fredholm operators; index theories

Keywords: Lipschitz invariant; signature operator; topological 4-manifold; ZFM 531.58044; Lipschitz structure

Citations: Zbl 0478.57007

Cited in: Zbl 0602.46069 Zbl 0565.58036 Zbl 0547.58036

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