模空间II上的拓扑动力学
Topological Dynamics on Moduli Spaces II
摘要：
设M是具有边界$\partial M$且亏格大于零的Riemann曲面.设$Γ$是M固定$\partial M$的映射类群。群$Γ$作用在${\mathcal M}_{\mathcal C} = \Hom_{\mathcal C}(π_1(M),SU(2)/SU(2)$上，${\mathcal M}_{\mathcal C} = \Hom_{\mathcal C}(π_1(M),SU(2)/SU(2)$是M上平坦SU（2）-联络的SU（2）-规范等价类的空间，完整性在$\partial M$上固定。研究了$Γ$ -作用的拓扑动力学，给出了${\mathcal M}_{\mathcal C}$中单个$Γ$ -轨道稠密的条件.
英文摘要：
Let M be a Riemann surface with boundary $\partial M$ and genus greater than zero. Let $Γ$ be the mapping class group of M fixing $\partial M$. The group $Γ$ acts on ${\mathcal M}_{\mathcal C} = \Hom_{\mathcal C}(π_1(M),SU(2)/SU(2)$ which is the space of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on $\partial M$. We study the topological dynamics of the $Γ$-action and give conditions for the individual $Γ$-orbits to be dense in ${\mathcal M}_{\mathcal C}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
