论文标题
链接所有其环状分支盖为L空间的链接
Links all of whose cyclic branched covers are L-spaces
论文作者
论文摘要
我们表明，对于椒盐脆饼结$ k_k = p（3，-3，-2k-1）$，$ n $ fold循环分支盖是所有$ n \ geq 1 $的L空间。此外，我们还表明，带有$ k \ geq 1 $的结$ k_k $是准阳性和切片的，回答了boileau-boyer-gordon的问题。我们还将Teragaito的结果扩展到了两桥结的示例，并将所有L空间循环分支盖覆盖到一个两桥连接的家族。
We show that for the pretzel knots $K_k=P(3,-3,-2k-1)$, the $n$-fold cyclic branched covers are L-spaces for all $n\geq 1$. In addition, we show that the knots $K_k$ with $k\geq 1$ are quasipositive and slice, answering a question of Boileau-Boyer-Gordon. We also extend results of Teragaito giving examples of two-bridge knots with all L-space cyclic branched covers to a family of two-bridge links.
