Circle actions and Z/k-manifolds

✍ Scribed by Weiping Zhang

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 95 KB
• Volume: 337
• Category: Article
• ISSN: 1631-073X
• DOI: 10.1016/s1631-073x(03)00279-6

✦ Synopsis

We establish an S 1 -equivariant index theorem for Dirac operators on Z/k-manifolds. As an application, we generalize the Atiyah-Hirzebruch vanishing theorem for S 1 -actions on closed spin manifolds to the case of Z/k-manifolds.