MT8832 is a research-oriented graduate course on Geometry and Topology. Topics for this course vary each year depending on the instructors. Topics this year are topology of 3-manifolds and the theory of taut foliations. I am planning to cover some basics of 3-manifold topology in the first half of the course and then foliations of 3-manifolds in the seond half.
Prof. Tao Li; Office: Maloney 542; Phone: 617-552-3767; Email: email@example.com
MWF 2:00 - 2:50 pm, Maloney Hall 560
Monday and Wednesday: 10:00 - 11:30 am; Thursday: 3:00
- 4:00 pm
Some references on 3-manifold topology:
3-manifold by John Hempel, published by the AMS.
Notes on Basic 3-manifold Topology by Allen Hatcher (available at: http://www.math.cornell.edu/~hatcher/3M/3Mdownloads.html ).
Lectures on Three-manifold Topology by William Jaco, published by the AMS.
Knots and Links by Dale Rolfsen, published by the AMS.
Some references on foliations:
Foliations and the geometry of 3-manifolds by Danny Calegari, Oxford Mathematical Monographs. Oxford: Oxford University Press. 2007.
Foliations and the Topology of 3-Manifolds, David Gabai, J. of Diff. Geom. 18 (1983), 445--503
Laminar branched surfaces in 3-manifolds. Tao Li, Geometry & Topology, 6 (2002), 153--194.