Rational L-space surgeries on satellites by algebraic links
Rational L-space surgeries on satellites by algebraic links
复制标题
通过代数联系对卫星进行合理的 L 空间手术
DOI：
10.1112/topo.12162
复制
发表时间：
2020
影响因子：
1.1
通讯作者：
Dean Rasmussen S
中科院分区：
文献类型：
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作者：
Dean Rasmussen S
给定一个与任意3流形相连接的零分量，在非平凡的情况下，作者已经在联合工作中充分刻画了产生L -空间的有理手术斜率的空间。然而，对于有理子空间，以前没有结果，对于整数手术，只有有限的结果。在这里，我们提供了第一个重要的明确描述，合理的手术在多部件的链接。推广海顿和霍姆的电缆L空间结果，我们计算了所有卫星的环面链路及其拓扑结构。对于由代数链接或迭代环面链接的卫星产生的分形边界，我们开发了任意精确的近似工具。我们还推广了在一类卫星链路上有理手术的L空间猜想的临时有效性。这些结果利用了作者关于图流形的广义Jankins-Neumann公式。
Given an‐component linkin any 3‐manifold, the spaceof rational surgery slopes yielding L‐spaces is already fully characterized in joint work by the author whenandis nontrivial. For, however, there are no previous results foras a rational subspace, and only limited results for integer surgerieson. Herein, we provide the first nontrivial explicit descriptions offor rational surgeries on multi‐component links. Generalizing Hedden's and Hom's L‐space result for cables, we compute both, and its topology, for all satellites by torus‐links in. For fractal‐boundariedresulting from satellites by algebraic links or iterated torus links, we develop arbitrarily precise approximation tools. We also extend the provisional validity of the L‐space conjecture for rational surgeries on a knotto rational surgeries on such satellite‐links of. These results exploit the author's generalized Jankins–Neumann formula for graph manifolds.