Heat Operator Trace Expansions and Index for General Atiyah–Patodi–Singer Boundary Problems
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Publication:4033781
DOI10.1080/03605309208820913zbMath0773.58025OpenAlexW2061326297MaRDI QIDQ4033781
Publication date: 16 May 1993
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309208820913
Index theory and related fixed-point theorems on manifolds (58J20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (18)
Dirac operators on cobordisms: Degenerations and surgery ⋮ The index of Dirac operators on incomplete edge spaces ⋮ Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems ⋮ Zeta and eta functions for Atiyah-Patodi-Singer operators ⋮ Spectral asymmetry and index theory on manifolds with generalised hyperbolic cusps ⋮ Extremality and rigidity for scalar curvature in dimension four ⋮ An index theorem on asymptotically static spacetimes with compact Cauchy surface ⋮ Realisations of elliptic operators on compact manifolds with boundary ⋮ Trace expansions and the noncommutative residue for manifolds with boundary ⋮ APS boundary conditions, eta invariants and adiabatic limits ⋮ Smeared heat-kernel coefficients on the ball and generalized cone ⋮ A weakly polyhomogeneous calculus for pseudodifferential boundary problems ⋮ Boundaries of locally conformally flat manifolds in dimensions $4k$ ⋮ Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems ⋮ Equivariant APS index for Dirac operators of non-product type near the boundary ⋮ An index theorem for open manifolds whose ends are warped products ⋮ Elliptic boundary value problem on non-compact G-manifolds ⋮ The scalar curvature in conical manifolds: some results on existence and obstructions
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