Structures riemanniennes L^p et K-homologieReportar como inadecuado



 Structures riemanniennes L^p et K-homologie


Structures riemanniennes L^p et K-homologie - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

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 > nn+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 works of N. Teleman for Lipschitz manifolds and of A. Connes, N. Teleman and D. Sullivan for quasi-conformal manifolds of even dimension.



Autor: Michel Hilsum

Fuente: https://archive.org/







Documentos relacionados