论文标题

左订购性,分支盖和双重扭结

Left-orderability, branched covers and double twist knots

论文作者

Turner, Hannah

论文摘要

对于一些两桥结的家庭,包括至少四个属的双扭结,我们精确地确定了整数$ n> 1 $,以便沿这些结的3杆循环分支盖的基本组是这些结的基础。有一些结,包括图形的结,该集合为空的结。我们给出了第一类双曲结,而不是这种类型的结,可以完全确定这些整数。

For some families of two-bridge knots, including double-twist knots with genus at least four, we determine precisely the set of integers $n>1$ such that the fundamental group of the $n$-fold cyclic branched cover of the 3-sphere along these knots is left-orderable. There are knots, including the figure-eight knot, for which this set is empty. We give the first class of hyperbolic knots, not of this type, for which these integers can be completely determined.

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