Higher spectral flow for Dirac operators with local boundary conditions

DOI10.1142/S0129167X16500683zbMath1346.58008arXiv1410.5988OpenAlexW2963409838MaRDI QIDQ2816978

Jianqing Yu

Publication date: 26 August 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5988

zbMATH Keywords

local boundary conditionssplitting formulaToeplitz familyhigher spectral flow

Mathematics Subject Classification ID

Boundary value problems on manifolds (58J32) Spectral theory; eigenvalue problems on manifolds (58C40) Spectral flows (58J30)

Related Items (1)

Self-adjoint local boundary problems on compact surfaces. II: Family index

Cites Work

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• Families of Dirac operators, boundaries and the \(B\)-calculus
• Perturbation theory for linear operators.
• On the gluing problem for the \(\eta\)-invariant
• A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings
• Spectral asymmetry and Riemannian geometry. III

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