These are lectures given at the 2019 PCMI Undergraduate Faculty Program. The topic of the lectures was Morse theory and handle bodies.
- Cobordisms and Morse Functions.
- Handlebody Decompositions.
- Surfaces (Kirby pictures, classification, and diffeomorphisms).
- H-cobordism theorem.
- Heegaard Splittings of 3-manifolds.
- Cerf and Smale Thoery.
- Extra Lectures
- Corners, rounding, glueing, and cutting.
- Jet Spaces.
- Morse Lemma.