Classical Knot Theory

TL;DR

This paper provides a concise overview of classical knot theory, covering knot coloring, fundamental groups, and handle decompositions to introduce key concepts and tools in the field.

Contribution

It offers a brief, accessible introduction to fundamental topics in knot theory, emphasizing essential methods and structures.

Findings

Knot coloring by quandles explained

Fundamental group of knot complement discussed

Handle-decompositions of knot complements described

Abstract

This paper is a very brief introduction to knot theory. It describes knot coloring by quandles, the fundamental group of a knot complement, and handle-decompositions of knot complements.