论文标题

交替结的循环分支盖

Cyclic branched covers of alternating knots

论文作者

Paoluzzi, Luisa

论文摘要

对于任何整数n> 2,在3个球体中的交替质子结k的n倍循环分支盖M可以确定K,这意味着,如果K是3个球体中的一个结,它不等于K,则其n折环型覆盖物,则不能为M。

For any integer n > 2, the n-fold cyclic branched cover M of an alternating prime knot K in the 3-sphere determines K, meaning that if K is a knot in the 3-sphere that is not equivalent to K then its n-fold cyclic branched cover cannot be homeomorphic to M.

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