Out（F_r）III中的理想Whitehead图：秩为3的可达图
Ideal Whitehead Graphs in Out(F_r) III: Achieved Graphs in Rank 3
摘要：
通过精确证明哪些奇异性指数列表来自伪Anosov曲面同胚的不变叶理对，Masur和Smillie确定了二次微分空间的Teichmüller流不变分层。在这三篇论文系列的最后一篇论文中，我们给出了Masur-Smillie定理的$Out(F_r)$模拟的第一步。由于由Handel和Mosher定义的理想Whitehead图在类似的$Out(F_r)$设置中给出了一个严格更精细的不变量，我们确定了21个连通的，单纯的，五顶点图中的哪一个是$Out(F_3)$中完全不可约外自同构的理想Whitehead图。
英文摘要：
By proving precisely which singularity index lists arise from the pair of invariant foliations for a pseudo-Anosov surface homeomorphism, Masur and Smillie determined a Teichmüller flow invariant stratification of the space of quadratic differentials. In this final paper of a three-paper series, we give a first step to an $Out(F_r)$ analog of the Masur-Smillie theorem. Since the ideal Whitehead graphs defined by Handel and Mosher give a strictly finer invariant in the analogous $Out(F_r)$ setting, we determine which of the twenty-one connected, simplicial, five-vertex graphs are ideal Whitehead graphs of fully irreducible outer automorphisms in $Out(F_3)$.
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