The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions

2016/10/26 by Pengshuai Shi, Shi, Pengshuai · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1610.08141

openalex publication_date 2016/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the index of a Callias-type operator with APS boundary condition on a manifold with compact boundary in terms of combination of indexes of induced operators on a compact hypersurface. Our result generalizes the classical Callias-type index theorem to manifolds with compact boundary.

Cited by

• Higher order spectral shift of Euclidean Callias operators
• Self-Reconstructing Codazzi Defects, \mathbbCP¹ Quantization, and the Minimal Standard-Model Carrier

Related

• The Atiyah-Patodi-Singer index on manifolds with non-compact boundary
• APS index theorem for even-dimensional manifolds with non-compact boundary
• The index of a local boundary value problem for strongly Callias-type operators
• Callias-type operators in von Neumann algebras
• An index of strongly Callias operators on Lorentzian manifolds with\n non-compact boundary