### (Tentative) Overview of content

- Manifolds - an introduction via examples
- Surfaces from polygons and classification
- The fundamental group using polygons
- Tangent space and smooth manifolds

### Some links with videos and extra materials

- Klein bottles:
- Surfaces from polygons Dance my PhD on double torus
- Moebius bagel
- A hole in a hole in a hole
- Torus games

### Some links with lecture notes, freely available book, and other useful references

- Introduction to Differential Topology, Bjoern Dundas
- Algebraic Topology, Allen Hatcher
- Lectures on Surfaces: (Almost) Everything You Wanted to Know about Them, Anatole Katok and Vaughn Climenhaga
- Smooth Manifolds, John M. Lee
- Brain Conrad's handout on the Quotient Manifold Theorem
- Differential Forms in Algebraic Topology, Bott and Tu
- Topics in Morse Theory: Lecture Notes, Ralph Cohen, Iga, Norbury