Guide to Elliptic Boundary Value Problems for Dirac-Type Operators

DOI10.1007/978-3-319-43648-7_3zbMath1377.58022arXiv1307.3021OpenAlexW2552800236MaRDI QIDQ5278318

Christian Bär, Werner Ballmann

Publication date: 19 July 2017

Published in: Arbeitstagung Bonn 2013 (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3021

zbMATH Keywords

boundary conditionscoercivityspectral theorydecomposition theoremindex theoryrelative index theoremboundary regularitycobordism theoremoperators of Dirac typecoercivity at infinity

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Index theory and related fixed-point theorems on manifolds (58J20) Boundary value problems on manifolds (58J32) Boundary value problems for first-order elliptic systems (35J56)

Related Items (15)

Boundary problems for three-dimensional Dirac operators and generalized MIT bag models for unbounded domains ⋮ Interior-boundary conditions for many-body Dirac operators and codimension-1 boundaries ⋮ On the MIT bag model in the non-relativistic limit ⋮ The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions ⋮ Quantization of Hamiltonian loop group spaces ⋮ Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) ⋮ Scalar curvature rigidity of convex polytopes ⋮ THE SPACE OF HYPERKÄHLER METRICS ON A 4-MANIFOLD WITH BOUNDARY ⋮ Second order elliptic equations and Hodge-Dirac operators ⋮ Dirac operators on hypersurfaces as large mass limits ⋮ Self-adjointness of Dirac operators with infinite mass boundary conditions in sectors ⋮ The Atiyah-Patodi-Singer index on manifolds with non-compact boundary ⋮ Norm-square localization and the quantization of Hamiltonian loop group spaces ⋮ Riesz continuity of the Atiyah–Singer Dirac operator under perturbations of local boundary conditions ⋮ Extension operator for the MIT bag model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• A note on the cobordism invariance of the index
• Regularity and index theory for Dirac-Schrödinger systems with Lipschitz coefficients
• Two index theorems in odd dimensions
• Eigenvalue boundary problems for the Dirac operator
• Real Killing spinors and holonomy
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• Spectral asymmetry and Riemannian Geometry. I
• Boundary Value Problems for Elliptic Differential Operators of First Order
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

This page was built for publication: Guide to Elliptic Boundary Value Problems for Dirac-Type Operators