- we normally think of two types of particles: fermions and bosons.
- The reason for this is exchangeability
- Exchangeability can be defined using path-uniqueness
- Path-uniqueness can be defined topologically or geometrically
- Topologically it’s a bit easier, so we tend to do that
- Make a note: [[Explaining away the anyons using geometry is kind of the same as explaining away phase transitions: you can do it but you lose universality]]
- Flip the order of III: first introduce Shech’s point, then go through the FQHE, see “huh, kinda cringe”, then go through the topological stuff.
- Make an animation making it plausible that “paths being the same” = “homotopy”
- What’s the deal with identifying points? 2:20:00-2:22:00
- Go through TONG