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The Index of Cusp Operators on Manifolds with Corners

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

Autori: Robert Lauter, Sergiu Moroianu

Editorial: Kluwer, Annals of Global Analysis and Geometry, 21, p.31-49, 2002.

Rezumat:

We recall a Fredholm criterion for fully elliptic cusp (pseudo)differential operators on a compact manifold with corners of arbitrary codimension,
acting on suitable Sobolev spaces. Then we give a formula for the index in terms of regularized `trace’ functionals similar to the residue trace of
Wodzicki and Guillemin.

Cuvinte cheie: Varietati cu singularitati de tip cusp, operatori pseudo-diferentiali degenerati, urma reziduu, invariant eta, index. // manifolds with multi-cuspidal singularities, degenerate pseudodifferential operators, residue traces, eta-invariants, index formulas

URL: http://www.kluweronline.com/issn/0232-704X/