Chern-Simons Reading Group

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Websites

• Chern-Simons theory
  n-Lab
• How to understand Chern-Simons action
  Mathoverflow
• Why hasn't anyone proved that the two standard approaches to quantizing Chern-Simons theory are equivalent?
  Mathoverflow
• Reconciling two notions of geometric quantization
  Mathoverflow
• The historical origins of Chern-Simons theory
  James Simons
  Video taken at Simons Center for Geometry and Physics (2011)

Books

• The Geometry and Physics of Knots
  M. F. Atiyah

Papers + Notes

• Quantum Field Theory and the Jones Polynomial
  Edward Witten
• Characteristic Forms and Geometric Invariants
  Shiing-Shen Chern and James Simons
• The Yang-Mills Equations over Riemann Surfaces
  M. F. Atiyah and R. Bott
• TQFTs (lecture notes)
  Kevin Walker
• Lectures on Topological Quantum Field Theory
  Dan Freed
• Remarks on Chern-Simons Theory
  Dan Freed
• Complex Manifolds (lecture notes)
  Alexei Kovalev
• Aspects of Yang-Mills Theory (lecture notes)
  Jonny Evans
• Quantum Mechanics via Symplectic Geometry (lecture notes)
  Will Merry
• A New Look At The Jones Polynomial of a Knot (slide show)
  Edward Witten
• Flat connections and geometric quantization
  Nigel Hitchin
• Geometric quantization; a crash course
  Eugene Lerman