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 language | English |
|---|---|
| Pages (from-to) | 41-49 |
| Number of pages | 9 |
| Journal | Topology and its Applications |
| Volume | 75 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1997 |
| Externally published | Yes |
Keywords
- Canonical 2-framing
- Finite covering
- Mapping class group
- η-invariant
ASJC Scopus subject areas
- Geometry and Topology