Asymptotics of the eta invariant

DOI10.1007/s00220-014-2114-xzbMath1311.58013arXiv1403.7020OpenAlexW3100487670MaRDI QIDQ466044

Nikhil Savale

Publication date: 24 October 2014

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

Full work available at URL: https://arxiv.org/abs/1403.7020

zbMATH Keywords

Riemannian manifoldDirac operatoreta invariantasymptoticcircle bundle

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Eta-invariants, Chern-Simons invariants (58J28) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (9)

Hyperbolicity, irrationality exponents and the eta invariant ⋮ Koszul complexes, Birkhoff normal form and the magnetic Dirac operator ⋮ Dirac spectral flow on contact three manifolds. II: Thurston-Winkelnkemper contact forms. ⋮ Asymptotic spectral flow ⋮ Toeplitz operators and the full asymptotic torsion forms ⋮ Sub-leading asymptotics of ECH capacities ⋮ An Application of the Index Theorem for Manifolds with Fibered Boundaries ⋮ A Gutzwiller type trace formula for the magnetic Dirac operator ⋮ Some modifications of Getzler's grading technique

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