Knot Theory - What's Knot to Love?
Channel: Mostly Mental
Date: 2022-10-28

Knot theory is, as the name suggests, the study of knots.  It's easy to get into (just play around with a string), but it leads to some deep topological structure.

This is the first video in a series on knot theory.  Check out the rest here: https://www.youtube.com/playlist?list=PLH5zdqQODdBhe2Kp5as7U7uudhNlEJk6H

Proof of Reidemeister moves: https://mathweb.ucsd.edu/~justin/Roberts-Knotes-Jan2015.pdf (Page 19)

Sections:
0:00 Intro
1:00 Definitions and diagrams
4:00 Knot transformation
5:40 Reidemeister moves
8:10 Transformation (with Reidemeister moves)
9:45 Puzzle revisited
11:11 Knot invariants