Callias' index theorem, elliptic boundary conditions, and cutting and gluing

DOI10.1007/BF02099412zbMath0797.58081OpenAlexW2005900172MaRDI QIDQ1325574

Johan Råde

Publication date: 19 October 1994

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

Full work available at URL: https://doi.org/10.1007/bf02099412

zbMATH Keywords

Callias' index theoremcomplete spin- manifoldselliptic boundary conditions

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Boundary value problems on manifolds (58J32)

Related Items (11)

Dimension of monopoles on asymptotically conic 3-manifolds: Figure 1. ⋮ An \(L^2\)-index formula for monopoles with Dirac-type singularities ⋮ The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions ⋮ Deformation theory of periodic monopoles (with singularities) ⋮ Comparison of perturbed Dirac operators ⋮ An index formula for perturbed Dirac operators on Lie manifolds ⋮ Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact manifolds ⋮ An index theorem of Callias type for pseudodifferential operators ⋮ A Callias-Type Index Theorem with Degenerate Potentials ⋮ An \(L^2\)-index theorem for Dirac operators on \(S^1\times\mathbb{R}^3\) ⋮ Regularized path integrals and anomalies: U(1) chiral gauge theory

Cites Work

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• Axial anomalies and index theorems on open spaces
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• \(L^ 2\)-index formulae for perturbed Dirac operators
• Remark on Callias' index theorem
• Some remarks on the paper of Callias
• On the index of Callias-type operators
• Spectral asymmetry and Riemannian Geometry. I

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