Quantum invariants and finite group actions on three-manifolds
| dc.creator | Chbili, Nafaa | |
| dc.date | 2003-10-29 | |
| dc.date.accessioned | 2026-07-07T05:02:20Z | |
| dc.date.available | 2026-07-07T05:02:20Z | |
| dc.description | A 3-manifold $M$ is said to be $p$-periodic ($p\geq 2$ an integer) if and only if the finite cyclic group of order $p$ acts on $M$ with a circle as the set of fixed points. This paper provides a criterion for periodicity of rational homology three-spheres. Namely, we give a necessary condition for a rational homology three-sphere to be periodic with a prime period. This condition is given in terms of the quantum SU(3) invariant. We also discuss similar results for the Murakami-Ohtsuki-Okada invariant. | |
| dc.description | 16 pages 4 figures | |
| dc.identifier | https://arxiv.org/abs/math/0310459 | |
| dc.identifier | http://arxiv.org/abs/math/0310459 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69015 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25 | |
| dc.title | Quantum invariants and finite group actions on three-manifolds | |
| dc.type | text |