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