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Homology of pseudo-differential operators on manifolds with fibered boundaries

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Robert Lauter, Sergiu Moroianu

Editorial: J. Reine Angew. Math., 547, p.207-234, 2002.

Rezumat:

We compute the Hochschild homology of the algebra of double-edge pseudo-differential operators. The double-edge algebra is naturally associated to a compact manifold whose boundary is the total space of a fibration of closed manifolds. We introduce residue-type traces on this algebra and on various of its ideals and quotients. As an application, we show that these traces are unique up to a constant. We use these traces to compute the index of Fredholm operators in the double-edge calculus.

Cuvinte cheie: Double edge operators, topological Hochschild homology, residue traces, index on non-compact manifolds..