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Annals of Mathematics, II. Series Vol. 149, No. 3, pp. 10071022 (1999) 

Structures riemanniennes $L^p$ et $K$homologie. (Riemannian $L^p$ structures and $K$homology)Michel HilsumReview from Zentralblatt MATH: Generalizing previous works of N. Teleman for Lipschitz manifolds and of A. Connes, N. Teleman and D. Sullivan for quasiconformal manifolds of even dimension, the author constructs analytically the signature operator for a new family of topological manifolds. This family contains the quasiconformal manifolds and the topological manifolds modeled on germs of homeomorphisms of $\bbfR^n$ possessing a derivative which is in $L^p$ with $p>{1\over 2} n(n+1)$. So, he obtains an unbounded Fredholm module which defines a class in the $K$homology of the manifold, the Chern character of which is the Hirzebruch polynomial in the Pontrjagin classes of the manifold. Reviewed by Corina Mohorianu Keywords: $K$homology of a manifold; Pontrjagin class; Chern character; quasiconformal manifolds; topological manifolds Classification (MSC2000): 58B34 58B20 57N65 58B15 Full text of the article:
Electronic fulltext finalized on: 8 Sep 2001. This page was last modified: 21 Jan 2002.
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