标题： 准交替手术 显示英文标题

标题： Quasi-alternating surgeries

摘要： 在本文中，我们探讨与纽结上的准交替手术相关的现象，其中纽结上的准交替手术是指产生准交替链的二重分支覆盖的德恩手术。 由于准交替链的二重分支覆盖是一个L-空间，因此准交替手术是L-空间手术的特殊例子。 我们证明了所有SnapPy文库中的L-空间纽结除了纽结t09847和o9_30634外都具有准交替手术，而这两个纽结都没有任何准交替手术。 特别是，这完成了Dunfield对所有SnapPy文库纽结中的L-空间纽结的分类。 此外，我们证明了所有非对称文库L-空间纽结恰好有两个连续整数的准交替斜率。 对于一些Baker-Luecke非对称L-空间纽结也观察到了类似的行为。 我们还对扭纽结上的准交替手术进行了分类，并简要探讨了形式L-空间手术的概念。 这使我们能够给出非对称形式L-空间的例子。 显示英文摘要

摘要： In this article, we explore phenomena relating to quasi-alternating surgeries on knots, where a quasi-alternating surgery on a knot is a Dehn surgery yielding the double branched cover of a quasi-alternating link. Since the double branched cover of a quasi-alternating link is an L-space, quasi-alternating surgeries are special examples of L-space surgeries. We show that all SnapPy census L-space knots admit quasi-alternating surgeries except for the knots t09847 and o9_30634 which both do not have any quasi-alternating surgeries. In particular, this finishes Dunfield's classification of the L-space knots among all SnapPy census knots. In addition, we show that all asymmetric census L-space knots have exactly two quasi-alternating slopes that are consecutive integers. Similar behavior is observed for some of the Baker-Luecke asymmetric L-space knots. We also classify the quasi-alternating surgeries on torus knots and explore briefly the notion of formal L-space surgeries. This allows us to give examples of asymmetric formal L-spaces.