论文标题
结，辫子和结
Knots, Braids, and Knot Invariants
论文作者
论文摘要
在本报告中，我将首先简要介绍结，以建立一些直觉，然后再开始在文献审查部分中进行更严格的审查。在那里，我将定义结的等效性，琼斯多项式不变，编织组，Hecke代数和Homfly多项式不变。接下来，我将介绍一些关于计算homfly多项式封闭循环架辫子的一般公式的独立研究。最后，我将松散地讨论这项研究如何与未来工作计划计划中通用痕迹的未来研究联系起来。
In this report, I will start by first giving a brief introduction on knots to build some intuition before beginning the more rigorous review in the Literature Review section. There, I will define knot equivalence, the Jones polynomial invariant, braid groups, Hecke algebras, and the HOMFLY polynomial invariant. Next, I will cover some of my independent research regarding the computation of a general formula for the HOMFLY polynomial of the closure of looped coxeter braids. Lastly, I will loosely discuss how this research connects to future research regarding the universal trace in the Plan for Future Work section.
