Handlebody-preserving finite group actions on Haken manifolds with Heegaard genus two - II

Details Handlebody-preserving finite group actions on Haken manifolds with Heegaard genus two - II Handlebody-preserving finite group actions on Haken manifolds with Heegaard genus two - II

2009-02-07

arxiv.org/abs/0902.1241v4

Mathematics

Geometric Topology

11 pages, 5 figures, a generalization of arXiv:0809.3624v4

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Handlebody-preserving finite group actions on Haken manifolds with Heegaard genus two - II does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Handlebody-preserving finite group actions on Haken manifolds with Heegaard genus two - II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Handlebody-preserving finite group actions on Haken manifolds with Heegaard genus two - II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-312097