✦ LIBER ✦
The eta invariant of twisted products of even dimensional manifolds whose fundamental group is a cyclic 2 group
✍ Scribed by Egidio Barrera-Yanez
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 131 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
✦ Synopsis
Let = 2 ν 2. Let M be an even dimensional manifold with cyclic fundamental group Z . Assume the universal cover M is spin. We shall define N (M) = M × M/Z 2 and express the eta invariant of N (M) in terms of the eta invariant of M. We use this computation to determine certain equivariant connective K theory groups and establish the Gromov-Lawson-Rosenberg conjecture for some special cases in the non-orientable setting.