Course curriculum

  • 1

    Course information

    • Course outline

    • Kevin's introduction

  • 2

    Tutorials

    • Tutorial 1

    • Tutorial 1 solutions

    • Tutorial 1 - alternative justification of commutator definition

    • Tutorial 2

    • Tutorial 2 solutions

  • 3

    Homeworks

    • Homework 1

  • 4

    Week 1

    • 1 - Background on Differential Forms

    • 1 - Background on Differential Forms

    • 2 - The de Rham complex

    • 2 - The de Rham complex

    • 3 - The de Rham complex part 2

    • 3 - The de Rham complex part 2

    • 4 - Stokes theorem

    • 4 - Stokes theorem

    • 5 - Gauge Fields

    • 5 - Gauge Fields

    • 6 - Large Gauge Transformations

    • 6 - Large Gauge Transformations

    • 7 - Wilson Lines

    • 7 - Wilson Lines

    • 8 - Wilson Lines part 2

    • 8 - Wilson Lines part 2

    • Week 1 survey

  • 5

    Week 2

    • 9 - Field strength and Wilson lines

    • 9 - Field strength and Wilson lines

    • 10 - Wilson lines in Chern-Simons

    • 10 - Wilson lines in Chern-Simons

    • 11 - The Chern-Simons propagator

    • 11 - The Chern-Simons propagator

    • 12 - The propagator part 2

    • 12 - The propagator part 2

    • 13 - The propagator part 3

    • 13 - The propagator part 3

  • 6

    Week 3

    • 14 - More on the linking number

    • 14 - More on the linking number

    • 15 - Feynman diagrams with Wilson lines

    • 15 - Feynman diagrams with Wilson lines

    • 16 - The Jones polynomial

    • 16 - The Jones polynomial

    • 17 - Skein relations

    • 17 - Skein relations