Some Remarks on Equivariant Elliptic Operators and Their Invariants

DOI10.1007/978-3-030-37326-9_5zbMath1505.35134arXiv1908.05165OpenAlexW4285546557MaRDI QIDQ5051796

Jochen Brüning, Ken V. Richardson

Publication date: 18 November 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.05165

zbMATH Keywords

eta invariantindexfirst order elliptic differential operators

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28) Heat and other parabolic equation methods for PDEs on manifolds (58J35) First-order elliptic systems (35J46)

Cites Work

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• The heat kernel Lefschetz fixed point formula for the spin-c Dirac operator
• On the asymptotic expansion of some integrals
• The asymptotic expansion of Minakshisundaram-Pleijel in the equivariant case
• Elliptic operators and compact groups
• Representations of compact Lie groups and elliptic operators
• Perturbation theory for linear operators.
• The Chern character of a transversally elliptic symbol and the equivariant index
• The equivariant index of transversally elliptic operators
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• Equivariant η-invariants and η-forms

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