MTH 782: Character varieties and 3-dimensional topology
University of Miami, Fall 2025
Instructor: Christopher Scaduto
Email: c.scaduto @ math.miami.edu
Office: Ungar 525
Office hours: 12:30-1:30 Thursday, or by appointment
Time and Location: TuTh 11AM - 12:15PM, Ungar 406
Course syllabus can be found here.
There is no single textbook for the course. References for some material covered:
Course Schedule
| Date |
Lecture Content |
| 8/19/25 |
Introduction. Dehn Surgery on knots. |
Saveliev, Lectures on the Topology of 3-Manifolds: Lecture 2 §2.1-2.3 (see also Lecture 1 for some relevant background)
Further reading: Gordon, Dehn surgery and 3-Manifolds (2006). Many examples and exercises. (Not up to date, though.)
|
| 8/21/25 |
Wirtinger presentations. Fundamental groups of surgeries. |
|
Rolfsen, Knots and Links: The Wirtinger Presentation §3.D
|
| 8/26/25 |
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| 8/28/25 |
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