1. Introduction to handlebody decompositions
    1. Cobordisms
    2. Morse functions
    3. Handlebody decompositions
    4. Facts about handlebody decompositions
  2. Surfaces (Kirby Pictures and diffeomorphism)
  3. The h-cobordism theorem
    1. Algebraic topology of handlebodies
    2. The h-cobordism theorem
  4. 3-Manifolds
    1. Heegaard Splittings
    2. Moves between Heegaard splittings
    3. Sugery
    4. Heegaard Diagrams and knot
    5. Fibered knots
  5. 4-Manifolds
    1. Kirby diagrams
    2. Homology of 4-manifolds
    3. Moves between Kirby diagrams
    4. 1-handles again
    5. Homotopy equivalence and cobordism
    6. Corks