MAI - Matematiska institutionen

TA1022 Didactical Materials

• Lecture -1: Topology and Complex Analysis
  • Lecture Notes
  • Hyperbolic Plane
  • A good account of Surface Homology is found in Chapters 4, 7 and 8 of Z. Virk's book Introduction to Persistent Homology
  • Fundamental Groups
• Lecture 0: The Riemann Sphere
  • Lecture Notes
• Lectures 1: Tori.
  • Lecture Notes
  • Torelli Theorem for two-Punctured Tori
• Lectures G: General Riemann Surfaces and Their Morphisms
  • Lecture Notes
  • Riemann Surfaces as Coverings of the Riemann Sphere
• Lectures F: Fuchsian Groups, Uniformization Theorem
  • Lecture Notes
  • Coverings
  • Riemann-Schwarz Theorem
  • Gauss-Bonnet Theorem

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Senast uppdaterad: 2024-10-18