从交替链接构造细分规则
Constructing subdivision rules from alternating links
摘要:
几何群论的研究提出了几个与具有自然双曲结构的细分镶嵌有关的定理。然而,这方面的例子很少。我们构造细分平铺的补充,每一个非奇异的,素交替链接。这些平铺定义了一个组合的无穷无穷远空间,类似于字双曲群的无穷无穷远空间。
英文摘要:
The study of geometric group theory has suggested several theorems related to subdivision tilings that have a natural hyperbolic structure. However, few examples exist. We construct subdivision tilings for the complement of every nonsingular, prime alternating link. These tilings define a combinatorial space at infinity, similar to the space at infinity for word hyperbolic groups.
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