On the Spectral Flow for Dirac Operators with Local Boundary Conditions

DOI10.1093/IMRN/RNU188zbMath1325.58014arXiv1310.0210OpenAlexW3102147535MaRDI QIDQ2949664

Alexander Gorokhovsky, Matthias Lesch

Publication date: 2 October 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0210

zbMATH Keywords

Dirac operatorspectral flowindex theorycobordism invarianceelliptic boundary conditions

Mathematics Subject Classification ID

Boundary value problems on manifolds (58J32) Spectral flows (58J30)

Related Items (7)

Self-adjoint local boundary problems on compact surfaces. I: Spectral flow ⋮ Self-adjoint local boundary problems on compact surfaces. II: Family index ⋮ Realisations of elliptic operators on compact manifolds with boundary ⋮ The Maslov Index in Symplectic Banach Spaces ⋮ An index theorem for odd-dimensional \(\mathbb{Z}/k\mathbb{Z}\)-manifolds ⋮ Riesz continuity of the Atiyah–Singer Dirac operator under perturbations of local boundary conditions ⋮ Boundaries, spectral triples and \(K\)-homology

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