Course Information for Math 595 GT, Geometric Topology Fall 2011

  • Instructor: Chris Leininger.

  • Textbook: None required, but the following references will be useful:
    • Hatcher, Allen, Notes on Basic 3-Manifold Topology.
    • Thurston, William P., A norm for the homology of 3-manifolds, Mem. Amer. Math. Soc. 59 (1986), no. 339, i--vi and 99--130. I will just bring in copies of this.
    • Thurston, William P., Three-Dimensional Geometry and Topology, vol. 1, Ed. Silvio Levy, Princeton University Press, 1997.

  • Lecture Room and Times: Mondays, Wednesdays and Friday from 11:00 AM until 11:50AM in 345 Altgeld Hall.

  • Prerequisites: I'm going to assume you are very familiar with basic algebraic topology (fundamental group, covering spaces, homology and cohomology) and differential topology.

  • Grades: This is based on classroom attendence and participation. I expect anyone who comes all semester to get an A (of course, if you're sick you should stay home...). There will be no exams, quizzes or homework collected.

  • Problems: I will assign problems and exercises throughout the semester. There will be a wide range in the level of difficulty, from completing proofs to open problems.

  • Lecture notes: page 1--15, page 16--25, page 26--32, page 33--41, page 42--50, page 51--end.
  • Don't forget about the problem session Wednesday 8/31! Here are the problems (with the typo mentioned in class corrected).