Syllabus:  MT 8832  Geometry/Topology IV: Topology of 3-manifolds and taut foliations

Spring 2017

Course Description:
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.

Instructor:
Prof. Tao Li;       Office: Maloney 542;   Phone: 617-552-3767;  Email: taoli@bc.edu

Lectures:
MWF 2:00 - 2:50 pm, Maloney Hall 560

Office Hours:

Monday and Wednesday: 10:00 - 11:30 am; Thursday: 3:00 - 4:00 pm
(Other hours available by appointment)
Office: Maloney 542; Phone: 617-552-3767;  Email: taoli @bc.edu

Website:
https://www2.bc.edu/tao-li/Syllabus.html

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.