Surgery theory applied to 4-manifolds

(These were six talks given at UT Austin to a small audience of topologists).

Course meetings:  Mondays, 5-5:50pm, PMA 10.176. 

Lecture plan.

Lecture notes were posted here on a regular basis.

Some references (that are also mentioned in the notes):

• Behrens, Kalmar, Kim, Powell, Ray: The disc embedding theorem (Chapter 22).

• Ranicki: Algebraic and Geometric Surgery.

• Lück: A basic introduction to Surgery theory.

• Chang, Weinberger: A course on Surgery Theory.

• Freedman, Quinn: The topology of 4-manifolds (Chapter 11).

• Kirby, Taylor: A survey of 4-manifolds through the eyes of surgery.

• Crowley, Lück, Macko: Surgery Theory: Foundations.

• Wall: Surgery on compact manifolds.

• Hambleton: Algebraic K- and L-theory and Applications to the Topology of Manifolds.

(Some background algebraic topology is collected e.g. here but can also be found many other places).