外层空间边界上的真不连续域
Domains of proper discontinuity on the boundary of Outer space
摘要：
受McCarthy和Papadopoulos关于映射类群子群的工作的启发，我们在紧致化的外层空间和测地流的投影化空间中为$Out(F_N)$的任何“足够大”的子群（即包含双曲型iwip的子群）构造了适当不连续的域。作为推论，我们证明了$N\ge 3$的$Out(F_N)$的行动的子集$\mathbb PCurr(F_N)$组成的所有projectivized电流的充分支持是适当的不连续。
英文摘要：
Motivated by the work of McCarthy and Papadopoulos for subgroups of mapping class groups, we construct domains of proper discontinuity in the compactified Outer space and in the projectivized space of geodesic currents for any "sufficiently large" subgroup of $Out(F_N)$ (that is, a subgroup containing a hyperbolic iwip). As a corollary we prove that for $N\ge 3$ the action of $Out(F_N)$ on the subset of $\mathbb PCurr(F_N)$ consisting of all projectivized currents with full support is properly discontinuous.
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