Pseudo-differential projections and the topology of certain spaces of elliptic boundary value problems

DOI10.1007/BF01218620zbMath0683.58044OpenAlexW2027077548MaRDI QIDQ1824929

Krzysztof P. Wojciechowski, Bernhelm Booss-Bavnbek

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01218620

zbMATH Keywords

Dirac operatorhomotopy groupsAtiyah-Patodi-Singer elliptic boundary conditions

Mathematics Subject Classification ID

Pseudodifferential and Fourier integral operators on manifolds (58J40) Elliptic equations and elliptic systems (35J99)

Related Items (8)

The additivity of the \(\eta\)-invariant. The case of a singular tangential operator ⋮ Determinants of Dirac boundary value problems over odd-dimensional manifolds ⋮ Grassmannian and chiral anomaly ⋮ The Maslov index, the spectral flow, and decompositions of manifolds ⋮ Relative index and the pairing between the relativeK-homology andK-colomogy ⋮ Splitting of the family index ⋮ \(\eta\)-invariants on manifolds with cylindrical end ⋮ Invariant subspaces of elliptic systems I: pseudodifferential projections

Cites Work

• Families index for manifolds with boundary, superconnections and cones. II: The Chern character
• Quantum field theory, Grassmannians, and algebraic curves
• Harmonic spinors
• Spectral asymmetry and Riemannian Geometry. I
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
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