The index of the scattering operator on the positive spectral subspace

DOI10.1007/BF02096546zbMath0760.58045MaRDI QIDQ1200466

Ulrich Bunke, Tankred Hirschmann

Publication date: 16 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Fredholm propertyscattering operatorindex theorypseudo-differential operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Index theory and related fixed-point theorems on manifolds (58J20) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (4)

A rigorous geometric derivation of the chiral anomaly in curved backgrounds ⋮ A \(K\)-theoretic relative index theorem and Callias-type Dirac operators ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ The APS-index and the spectral flow

Cites Work

• The index of scattering operators of Dirac equations. II
• The index of scattering operators of Dirac equations
• Relative index theorems and supersymmetric scattering theory
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
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