Cyclic actions and elliptic genera
| dc.creator | Dessai, Anand | |
| dc.date | 2001-04-26 | |
| dc.date | 2002-03-20 | |
| dc.date.accessioned | 2026-07-07T04:41:28Z | |
| dc.date.available | 2026-07-07T04:41:28Z | |
| dc.description | Let $M$ be a $Spin$-manifold with $S^1$-action and let $σ\in S^1$ be of finite order. We show that the indices of certain twisted Dirac operators vanish if the action of $σ$ has sufficiently large fixed point codimension. These indices occur in the Fourier expansion of the elliptic genus of $M$ in one of its cusps. As a by-product we obtain a new proof of a theorem of Hirzebruch and Slodowy on involutions. | |
| dc.description | 9 pages, revised version | |
| dc.identifier | https://arxiv.org/abs/math/0104255 | |
| dc.identifier | http://arxiv.org/abs/math/0104255 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61372 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57S15, 57R20 (Primary) 19L47, 57S25 (Secondary) | |
| dc.title | Cyclic actions and elliptic genera | |
| dc.type | text |