The η-invariant of mapping tori with finite monodromies

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Abstract

The η-invariant of Riemannian 3-manifolds is defined by means of the spectrum of a certain elliptic operator. In this paper, we give a geometric interpretation of the deviation from the multiplicativity of the η-invariant for finite coverings. We then apply it to mapping tori with finite monodromies, and obtain a simple formula of the η-invariant for it.

Original languageEnglish
Pages (from-to)41-49
Number of pages9
JournalTopology and its Applications
Volume75
Issue number1
Publication statusPublished - 1997 Jan 1
Externally publishedYes

Keywords

  • Canonical 2-framing
  • Finite covering
  • Mapping class group
  • η-invariant

ASJC Scopus subject areas

  • Geometry and Topology

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