$$
\usepackage{amssymb}
\newcommand{\N}{\mathbb{N}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\ZZ}{\ooalign{Z\cr\hidewidth\kern0.1em\raisebox{-0.5ex}{Z}\hidewidth\cr}}
\newcommand{\colim}{\text{colim}}
\newcommand{\weaktopo}{\tau_\text{weak}}
\newcommand{\strongtopo}{\tau_\text{strong}}
\newcommand{\normtopo}{\tau_\text{norm}}
\newcommand{\green}[1]{\textcolor{ForestGreen}{#1}}
\newcommand{\red}[1]{\textcolor{red}{#1}}
\newcommand{\blue}[1]{\textcolor{blue}{#1}}
\newcommand{\orange}[1]{\textcolor{orange}{#1}}
\newcommand{\tr}{\text{tr}}
\newcommand{\id}{\text{id}}
\newcommand{\im}{\text{im}\>}
\newcommand{\res}{\text{res}}
\newcommand{\TopTwo}{\underline{\text{Top}^{(2)}}}
\newcommand{\CW}[1]{\underline{#1\text{-CW}}}
\newcommand{\ZZ}{%
\ooalign{Z\cr\hidewidth\raisebox{-0.5ex}{Z}\hidewidth\cr}%
}
% specific for this document
\newcommand{\cellOne}{\textcolor{green}{1}}
\newcommand{\cellTwo}{\textcolor{red}{2}}
\newcommand{\cellThree}{\textcolor{brown}{3}}
\newcommand{\cellFour}{\textcolor{YellowOrange}{4}}
$$
Knot theory - peripheral system
math
algebra
abstract algebra
knot theory
Abstract
In knot theory, the peripheral system is an important concept that helps to classify and distinguish different knots. In this video I animated it for an oberseminar at Heinrich Heine University during my masters degree in mathematics.