MATH 8720
Teichmüller theory
- Lecture notes (Parts 0, 1, and 2 lecture notes are based on the corresponding chapters of A. Tromba’s textbook “Teichmüller theory in Riemannian geometry”):
- Part 0 - Preliminaries</a>.
- Part 1 - The manifolds of Teichmüller theory.
- Part 2 - The construction of Teichmüller space.
- Part 3 - The Weil-Petersson metric is not complete.
- Part 4 - Teichmüller’s uniqueness theorem.
(Any typos or mistake reports are greatly appreciated, feel free to contact me if you catch anything incorrect, I’ll try to keep the notes updated. Thank you in advance for your help!)
- UVA Canvas webpage.
- Syllabus of the course.