纽结、辫指数和厄普塞隆不变量之间的配边关系
On cobordisms between knots, braid index, and the Upsilon-invariant
摘要：
我们使用Ozsváth，Stipsicz，和Szabó的厄普西隆不变提供边界上的cobordisms之间的结，“包含全扭转”。特别是，我们恢复和推广的Morton-Franks-Williams不等式的结的经典后果：积极的辫子，包含一个积极的全捻实现其封闭的辫子指数。我们还建立了充分扭曲的准正编织实现了最小的编织指数之间的所有结是一致的，他们的封闭。最后，我们提供了归纳公式的uppermost不变量的环面结，并比较它的Levine-Tristram签名配置文件。
英文摘要：
We use Ozsváth, Stipsicz, and Szabó's Upsilon-invariant to provide bounds on cobordisms between knots that `contain full-twists'. In particular, we recover and generalize a classical consequence of the Morton-Franks-Williams inequality for knots: positive braids that contain a positive full-twist realize the braid index of their closure. We also establish that quasi-positive braids that are sufficiently twisted realize the minimal braid index among all knots that are concordant to their closure. Finally, we provide inductive formulas for the Upsilon invariant of torus knots and compare it to the Levine-Tristram signature profile.
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。
