Handlebody-preserving finite group actions on Haken manifolds with Heegaard genus two - II
| dc.creator | Kim, Jungsoo | |
| dc.date | 2009-02-07 | |
| dc.date | 2009-05-25 | |
| dc.date.accessioned | 2026-07-07T13:17:26Z | |
| dc.date.available | 2026-07-07T13:17:26Z | |
| dc.description | Let $M$ be a closed orientable 3-manifold with a genus two Heegaard splitting $(V_1, V_2; F)$ and a non-trivial JSJ-decomposition, where all components of the intersection of the JSJ-tori and $V_i$ are not $\partial$-parallel in $V_i$ for $i=1,2$. If $G$ is a finite group of orientation-preserving smooth actions on $M$ which preserves each handlebody of the Heegaard splitting and each piece of the JSJ-decomposition of $M$, then $G\cong \mathbb{Z}_2$ or $\mathbb{D}_2$ unless $V_j\cap(\cup T_i)$ has three or more disk components for $j=1$ or 2. | |
| dc.description | 11 pages, 5 figures, a generalization of arXiv:0809.3624v4 | |
| dc.identifier | https://arxiv.org/abs/0902.1241 | |
| dc.identifier | http://arxiv.org/abs/0902.1241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231114 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M99; 57S17 | |
| dc.title | Handlebody-preserving finite group actions on Haken manifolds with Heegaard genus two - II | |
| dc.type | text |