The eta function of the localised Dirac operator for the universal cover of \(\mathrm{SL}_2(\mathbb{R})\)

DOI10.1016/j.jfa.2016.12.031zbMath1367.58015OpenAlexW2570817802MaRDI QIDQ517110

Yong-Cai Geng, Sumit K. Garg

Publication date: 16 March 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.12.031

zbMATH Keywords

eta functionlocalized Dirac operatorlocalized eta invariantuniversal cover of \(\mathrm{SL}_2(\mathbb{R})\)

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Analysis on real and complex Lie groups (22E30) Eta-invariants, Chern-Simons invariants (58J28)

Cites Work

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• Irreducible unitary representations of the Lorentz group
• Zeta determinant for double sequences of spectral type
• Spectral Asymmetry and Riemannian Geometry
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• Spectral asymmetry and Riemannian geometry. II