$S^3$中Surfactant的亏损对称性
Deficiency Symmetries of Surgeries in $S^3$
摘要：
我们通过比较合理手术与相关整体手术的$\text{Spin}^c$结构，检查了合理手术对$S^3$结的缺陷中的某些对称性。然后，我们提供了一个应用程序的形式，这些对称性的定理，阻碍德恩手术在$S^3$。这最后一部分统一和generalises定理格林基础上他的工作电缆猜想，透镜空间实现的问题，并unknotting一些交替3辫子。
英文摘要：
We examine certain symmetries in the deficiencies of a rational surgery on a knot in $S^3$ by comparing the $\text{Spin}^c$-structures on the rational surgery with those on a related integral surgery. We then provide an application of these symmetries in the form of a theorem that obstructs Dehn surgeries in $S^3$. This last part unifies and generalises theorems by Greene underlying his work on the cabling conjecture, the lens space realisation problem, and the unknotting number of alternating 3-braids.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
