Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications

Dynamics of veering triangulations: infinitesimal components of their flow graphs and applications
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转向三角测量的动力学:其流程图和应用的无穷小分量

DOI:
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发表时间:
2022
期刊:
影响因子:
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通讯作者:
Chi Cheuk Tsang
Chi Cheuk Tsang
中科院分区:
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文献类型:
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作者:
I. Agol;Chi Cheuk Tsang

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我们研究了与转向三角剖分相关的流图的强连通分量,并证明了无穷小分量必须具有一定的形式,这与我们称之为“墙”的三角剖分的子集有关。我们展示了这些知识的两个应用:(1)第一作者在原始论文中引入转向三角测量的证明的修复;(2)转向三角测量诱导没有完美拟合的伪Anosov流的另一个证明,这最初是由Schleimer和Segerman证明的。
We study the strongly connected components of the flow graph associated to a veering triangulation, and show that the infinitesimal components must be of a certain form, which have to do with subsets of the triangulation which we call `walls'. We show two applications of this knowledge: (1) a fix of a proof in the original paper by the first author which introduced veering triangulations; and (2) an alternate proof that veering triangulations induce pseudo-Anosov flows without perfect fits, which was initially proved by Schleimer and Segerman.
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影响因子: 0.7
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