Mathematics 612, Spring 2019

Algebraic Topology II

Tuesdays, Thursdays 1:25-2:40pm, Physics 227
Office hours: Mondays 2:00-3:00, Thursdays 2:45-3:45 (in other words, right after class), and by appointment.

Homework assignments


Course lecture notes

For your convenience, my lecture notes from the last time I taught this course (Fall 2014) are available. I will probably be following these notes fairly closely though not exclusively. Here they are:

Course information

Textbooks:

We will use Hatcher for the first portion of the course, when we discuss singular cohomology. The rest of the course will be based on Bott and Tu.

Prerequisites: Math 611 or familiarity with equivalent material (fundamental group, simplicial/singular homology, CW complexes; essentially the first two chapters of Hatcher). Math 621 or familiarity with basic differential topology (smooth manifolds, tangent/cotangent bundle, differential forms) will also be helpful but is not required.

There will be weekly/biweekly homework assignments and a take-home final exam for this course.

Here are topics that I plan to cover in the course: