*Ma 157b* - Riemannian geometry 2, introduction to hyperbolic manifolds; Spring 2010

### Instructor: Danny Calegari

### MWF 2:00-3:00 257 Sloan

### Grading policy:

Grades are based on attendance and class participation.

### Description of course:

This course is an introduction to the geometry and topology of hyperbolic
manifolds, especially in dimensions 2 and 3.
Topics covered may include: hyperbolic structures on manifolds, Teichmuller space, hyperbolic Dehn surgery, classification of Kleinian groups. Prerequisites are 151 and 157a or the consent of the instructor.

### References:

There are no required references; suggested reading includes the following:

- W. Thurston,
*The Geometry and Topology of Three-Manifolds*, notes
available online from the MSRI
- W. Thurston,
*Three-dimensional geometry and topology, Vol. 1*, Princeton Mathematical Series, 35, Princeton University Press 1997
- M. Kapovich,
*Hyperbolic manifolds and discrete groups*, progress in mathematics, 183, Birkhauser 2001 (2nd edition 2009)
- J. Cannon, W. Floyd, R. Kenyon and W. Parry,
*Hyperbolic Geometry*, available online from the MSRI