*Ma 191a* - Foliations and 3-manifolds; Fall 2003

### Instructor: Danny Calegari

### MW 3:30-5:00 257 Sloan

Note: I will be in Chicago during October 13-25. If possible, I would
like to make up some or all of these classes before/after my travel.

### Grading policy:

Those taking the class for a grade will be required to take notes.

### Description of course:

We will discuss recent developments in the theory of foliations of
3-manifolds, and their relations to other aspects of 3-manifold topology,
principally to hyperbolic geometry and geometric group theory. We will
also discuss relations with contact and symplectic geometry in
3 and 4 dimensions.

### Topics to be covered may include:

- Finite depth foliations and the Thurston norm
- Universal circles
- Groups and groupoids of homeomorphisms of 1- and 2-manifolds
- Contact structures and confoliations

Notes for the course may gradually be posted in installments.

### References:

- A. Candel and L. Conlon
*Foliations I* AMS, GSM volume 23
- A. Candel and L. Conlon
*Foliations II* AMS, GSM volume 60
- D. Calegari
*Foliations and the geometrization of 3-manifolds* Lecture notes; partially written
- D. Gabai
*Foliations and 3-manifolds* Proceedings of the ICM Vol. 1
(Kyoto, 1990) 609-619
- L. Mosher
*Laminations and flows transverse to finite depth foliations, Part I* Monograph; available from the author's webpage
- W. Thurston
*A norm for the homology of 3-manifolds* Memoirs of
the AMS **339** (1986) 99-130
- T. Tsuboi
*Homology of diffeomorphism groups, and foliated structures* Sugaku Expositions **3** (1990) no. 2, 145-181