Equivariant APS index for Dirac operators of non-product type near the boundary

DOI10.1512/iumj.2019.68.7621zbMath1422.19002arXiv1702.08105OpenAlexW2963353397WikidataQ127936008 ScholiaQ127936008MaRDI QIDQ5225162

Gideon Maschler, Maxim Braverman

Publication date: 19 July 2019

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08105

zbMATH Keywords

4-manifoldeta invariantequivariantKählerAPS index

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Index theory and related fixed-point theorems on manifolds (58J20) Other complex differential geometry (53C56) Index theory (19K56)

Related Items (6)

The relative eta invariant for a pair of Dirac-type operators on non-compact manifolds ⋮ Spectral asymmetry and index theory on manifolds with generalised hyperbolic cusps ⋮ The Atiyah-Patodi-Singer index on manifolds with non-compact boundary ⋮ An index of strongly Callias operators on Lorentzian manifolds with non-compact boundary ⋮ The index of a local boundary value problem for strongly Callias-type operators ⋮ Spectral flows of Toeplitz operators and bulk-edge correspondence

Cites Work

• Unnamed Item
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• The eta invariant in the doubly Kählerian conformally compact Einstein case
• Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions
• Special Kähler-Ricci potentials and Ricci solitons
• Riemannian metrics on principal circle bundles over locally symmetric Kaehlerian manifolds
• The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary
• On the index of geometrical operators for Riemannian manifolds with boundary
• The Equivariant Index and Kirillov's Character Formula
• Heat Operator Trace Expansions and Index for General Atiyah–Patodi–Singer Boundary Problems
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• Spectral asymmetry and Riemannian geometry. III
• Local Classification of Conformally-Einstein Kähler Metrics in Higher Dimensions
• Equivariant η-invariants and η-forms
• Boundaries of locally conformally flat manifolds in dimensions $4k$
• Riemannian Geometry
• Special Kähler-Ricci potentials on compact Kähler manifolds
• A moduli curve for compact conformally-Einstein Kähler manifolds

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