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


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: