Nonperturbative spectral action of round coset spaces of \(\mathrm{SU}(2)\)

DOI10.4171/JNCG/131zbMath1281.58020arXiv1010.1827MaRDI QIDQ380270

Kevin Teh

Publication date: 13 November 2013

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1827

zbMATH Keywords

noncommutative geometry3-spherespectral geometryPoincaré homology sphereDirac spectrumLens spaceBerger metricspectral action principle

Mathematics Subject Classification ID

Noncommutative topology (46L85) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (7)

Spectral action for Bianchi type-IX cosmological models ⋮ Fractality in cosmic topology models with spectral action gravity ⋮ The coupling of topology and inflation in noncommutative cosmology ⋮ An explicit formula for the Dirac multiplicities on lens spaces ⋮ Topological entropy and renormalization group flow in 3-dimensional spherical spaces ⋮ Coupling of gravity to matter, spectral action and cosmic topology ⋮ The geometry of quantum lens spaces: real spectral triples and bundle structure

Cites Work

• Unnamed Item
• The spectral action and cosmic topology
• The uncanny precision of the spectral action
• The Dirac operator on homogeneous spaces and its spectrum on 3- dimensional lens spaces
• The spectral action principle
• The Dirac operator on space forms of positive curvature
• The spectrum of the Dirac operator on \(SU_{2}/Q_{8}\)

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