Computations and Applications of η Invariants

DOI10.1007/978-3-642-22842-1_13zbMath1260.58013arXiv1011.4766OpenAlexW2014169252MaRDI QIDQ2897250

Sebastian Goette

Publication date: 10 July 2012

Published in: Global Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4766

zbMATH Keywords

\(\eta\)-invariantgluing formula\(\rho\)-invariantAtiyah-Patodi-Singer index formulaAdams \(e\)-invariantEells-Kuiper invariant\(\xi\)-invariantKreck-Stolz invariants

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (9)

The relative eta invariant for a pair of Dirac-type operators on non-compact manifolds ⋮ Moduli space of non-negative sectional or positive Ricci curvature metrics on sphere bundles over spheres and their quotients ⋮ A geometric proof of the Atiyah-Patodi-Singer mod \(k\) index theorem for Dirac operators ⋮ \({\eta}\)-invariant and a problem of Bérard-Bergery on the existence of closed geodesics ⋮ A Gutzwiller type trace formula for the magnetic Dirac operator ⋮ A new proof of an index theorem of Freed and Melrose ⋮ Spectral flow for Dirac operators with magnetic links ⋮ Eta and rho invariants on manifolds with edges ⋮ The mathematical work of V. K. Patodi

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