模空间上的拓扑动力学，I
Topological Dynamics on Moduli Spaces, I
摘要：
设M是以$\partial M$（圆）为边界的单孔环面，$Γ$是M固定$\partial M$的映射类群.群$Γ$作用在${\mathcal M}_{\mathcal C}(SU(2))$上，${\mathcal M}_{\mathcal C}(SU(2))$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${\mathcal M}_{\mathcal C}(SU(2))$中单个$Γ$轨道稠密的条件.
英文摘要：
Let M be a one-holed torus with boundary $\partial M$ (a circle) and $Γ$ the mapping class group of M fixing $\partial M$. The group $Γ$ acts on ${\mathcal M}_{\mathcal C}(SU(2))$ 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 ${\mathcal M}_{\mathcal C}(SU(2))$.
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