Skip to content

Latest commit

 

History

History
21 lines (15 loc) · 895 Bytes

11-10-2022 🔴ACTUAL TOPOLOGY TUESDAYS 🧑‍🏫STUDY WITH ME🧑‍🏫THINK WHITE BOY THINK🧑‍🏫.md

File metadata and controls

21 lines (15 loc) · 895 Bytes

Things I want to communicate in this chapter

  • 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

Comments on Anyons

  • 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”

Things to ask supes

  • What’s the deal with identifying points? 2:20:00-2:22:00

Next time

  • Go through TONG