Eta invariants, charge fractionalization and anomalies
type: Item
instance of: scholarly article
title: Eta invariants, charge fractionalization and anomalies
zbMATH Open document ID: 0605.58039
DOI: 10.1007/BF00400708
author: P. Tataru-Mihai
published in: Letters in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: In this interesting note the author computes the eta invariant for odd dimensional spheres of constant curvature under a free isometric action of a finite cyclic group, i.e., for lens spaces, using formulas developed by Atiyah-Patodi-Singer and by H. Donnelly. He also makes some interesting remarks about the relationship of this invariant to the principal curvatures of isoparametric hypersurfaces in spheres. Moreover some physical implications about anomalies related to the eta invariant, now interpreted as a Chern-Simons-type invariant, is discussed, especially in connnection with the double suspension encountered in the Bott periodicity theorem.
Mathematics Subject Classification ID: 58J20
Mathematics Subject Classification ID: 58J50
Mathematics Subject Classification ID: 81V99
zbMATH DE Number: 3977996
zbMATH Keywords: G-signature theorem
zbMATH Keywords: spin index
zbMATH Keywords: monopole masses
zbMATH Keywords: eta invariant
zbMATH Keywords: isoparametric hypersurfaces
zbMATH Keywords: anomalies
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3977996