Abstract
In this paper, we study the limiting eta invariants of collapsed Riemannian manifolds. These invariants were defined and previously studied in [9]. In particular, we prove a conjecture of Cheeger and Gromov which asserts their rationality in the three-dimensional case, provided that the collapse has bounded covering geometry.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 535-568 |
| Number of pages | 34 |
| Journal | Journal of Differential Geometry |
| Volume | 37 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 1993 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Geometry and Topology