Mathematics 612, Fall 2013

Algebraic Topology II

Wednesdays, Fridays 1:25-2:40pm, Physics 227
Office hours: Wednesdays 4:20-5:00, Thursdays 12:00-2:00, or drop by or make an appointment. (Please note that my undergraduate course has priority for the official office hours.)

There will be no class November 6 and November 8.

Homework assignments

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.

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: