Lectures on Mapping Class Groups at KAIST

- finite generation by Dehn twists, finite presentability, relations, ...
- pseudo-Anosov homeomorphisms, geodesic laminations, Nielsen-Thurston classification
- Teichmuller space, curve and arc complex, hyperbolicity

- subsurface projections and a glimpse of the Masur-Minsky theory

- Farb-Margalit: A primer on mapping class groups
- Casson-Bleiler: Automorphisms of surfaces after Nielsen and Thurston
- Minsky: Introduction to mapping class groups, PCMI notes (download here)
- Ivanov: Mapping class groups, in Handbook of geometric topology

Some sources for hyperbolic geometry:

- Thurston: Three-dimensional geometry and topology
- Bonahon: Low dimensional geometry
- Cannon-Floyd-Kenyon-Parry: Hyperbolic geometry (download here)
- Series: Hyperbolic geometry notes (download here)

Week 1 exercises

Week 2 exercises