Semifree S3-actions and elliptic genera
β Scribed by Karl Heinz Mayer
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 471 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove the vanishing of the A-genus of compact smooth manifolds with finite second homotopy group and endowed with smooth S 1 actions. These manifolds are not necessarily spin, hence, this vanishing extends that of Atiyah and Hirzebruch on spin manifolds with S 1 actions. The proof is accomplished
A group action is semifree if it is free away from its fixed-point set. P. A. Smith showed that when a finite group of order q acts semifreely on a sphere, the fixed set is a mod q homology sphere. Conversely, given a mod q homology sphere as a subset of a sphere, one may try to construct a group ac