\(L^ 2\)-index formulae for perturbed Dirac operators
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Publication:911127
DOI10.1007/BF02097046zbMath0697.58048MaRDI QIDQ911127
Publication date: 1990
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Related Items (19)
Callias' index theorem, elliptic boundary conditions, and cutting and gluing ⋮ The Spectral Shift Function and the Witten Index ⋮ A \(K\)-theoretic relative index theorem and Callias-type Dirac operators ⋮ On the Witten index in terms of spectral shift functions ⋮ The Atiyah-Singer index theorem for a family of fractional Dirac operators on spin geometry ⋮ The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions ⋮ Relative equivariant coarse index and relative \(L^2\)-index ⋮ A short proof of an index theorem. II ⋮ On the spectrum of spherical Dirac-type operators ⋮ Comparison of perturbed Dirac operators ⋮ Callias-type operators in C∗-algebras and positive scalar curvature on noncompact manifolds ⋮ Callias-type operators in von Neumann algebras ⋮ \(L^ 2\)-index for certain Dirac-Schrödinger operators ⋮ A short proof of an index theorem ⋮ The index formula and the spectral shift function for relatively trace class perturbations ⋮ Index Theory for Perturbed Dirac Operators on Manifolds with Conical Singularities ⋮ The $L^2$-harmonic forms on rotationally symmetric Riemannian manifolds revisited ⋮ The Atiyah-Patodi-Singer index on manifolds with non-compact boundary ⋮ On the index of Callias-type operators
Cites Work
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- Axial anomalies and index theorems on open spaces
- Some remarks on the paper of Callias
- On the heat equation and the index theorem
- The Dirac Operator on Spaces with Conical Singularities and Positive Scalar Curvatures
- The index of elliptic operators on compact manifolds
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