BASIC FUNCTIONAL ANALYSIS PUZZLES OF SPECTRAL FLOW

DOI10.1017/S1446788711001200zbMath1223.58016arXiv1010.6084MaRDI QIDQ3020571

Bernhelm Booss-Bavnbek

Publication date: 4 August 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.6084

zbMATH Keywords

perturbationDirac operatorsboundary value problemspectral flow

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Noncommutative global analysis, noncommutative residues (58J42) Spectral flows (58J30) Cobordism in PL-topology (57Q20)

Related Items (2)

Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric ⋮ Perturbation of sectorial projections of elliptic pseudo-differential operators

Cites Work

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• The index formula and the spectral shift function for relatively trace class perturbations
• Quadratic estimates and functional calculi of perturbed Dirac operators
• The invertible double of elliptic operators
• The Calderón projection: New definition and applications
• The Maslov index: A functional analytical definition and the spectral flow formula
• SPECTRAL ASYMMETRY, ZETA FUNCTIONS, AND THE NONCOMMUTATIVE RESIDUE
• The [eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary]
• Unbounded Fredholm Operators and Spectral Flow
• Calderón Projector for the Hessian of the perturbed Chern–Simons function on a 3-manifold with boundary
• Singular Integrals and Boundary Value Problems

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