Structures riemanniennes L^p et K-homologie

@article{Hilsum1999StructuresRL,
  title={Structures riemanniennes L^p et K-homologie},
  author={Michel Hilsum},
  journal={Annals of Mathematics},
  year={1999},
  volume={149},
  pages={1007-1022}
}
  • Michel Hilsum
  • Published 1 May 1999
  • Mathematics
  • Annals of Mathematics
We construct analytically the signature operator for a new family of topological manifolds. This family contains the quasi-conformal manifolds and the topological manifolds modeled on germs of homeomorphisms of R^n possessing a derivative which is in L^p, with p > n(n+1)/2. We obtain 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. This generalizes previous… Expand
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