从Kontsevich不变量得到Milnor-Orr不变量

IF 1.1 2区数学 Q1 MATHEMATICS

Publications of the Research Institute for Mathematical Sciences Pub Date : 2017-12-06 DOI:10.4171/prims/56-1-7

Takefumi Nosaka

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引用次数: 1

摘要

作为纽结理论中的幂零性研究，我们主要研究Milnor、Orr和Kontsevich的不变量。我们证明了阶$k$的Orr不变量等价于阶$<2k$的Kontsevich不变量的树约简。此外，我们将看到Orr不变量和Milnor不变量之间的密切关系，并讨论计算这些不变量的方法

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Milnor–Orr Invariants from the Kontsevich Invariant

As nilpotent studies in knot theory, we focus on invariants of Milnor, Orr, and Kontsevich. We show that the Orr invariant of degree $ k $ is equivalent to the tree reduction of the Kontsevich invariant of degree $< 2k $. Furthermore, we will see a close relation between the Orr invariant and the Milnor invariant, and discuss a method of computing these invariants

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来源期刊

Publications of the Research Institute for Mathematical Sciences 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Publications of the Research Institute for Mathematical Sciences (PRIMS) is to publish original research papers in the mathematical sciences.