The η-invariant of mapping tori with finite monodromies

Research output: Contribution to journalArticle

10 Citations (Scopus)

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
Externally publishedYes

Fingerprint

Torus
Invariant
Elliptic Operator
Covering
Deviation
Interpretation

Keywords

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

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

The η-invariant of mapping tori with finite monodromies. / Morifuji, Takayuki.

In: Topology and its Applications, Vol. 75, No. 1, 1997, p. 41-49.

Research output: Contribution to journalArticle

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