1 | Knows the basic space, hyperbolic plane and Riemannian sphere. |
2 | Defines the Möbius transformation. |
3 | Understands topological group and properties. |
4 | Learns discrete subgroups. |
5 | Calculates hyperbolic distance and area. |
6 | Knows PGL (2,R) and PSL (2,R) groups. |
7 | Learns knowledge about modular group and basic regions. |