First 3 classes: As per university policy, our first 3 class
meetings (1/5, 1/10, 1/12)
will be on Zoom. Hopefully we'll have in-person
classes after that. The Zoom link for our online classes is
available on
the Sakai page for our course. Alternatively, you can manually enter the
following information in Zoom:
Meeting ID 920 9519 7016
Password = 10-letter word that appears in the titles of the first 3 parts
of the course, according to my lecture notes below. (The Zoom address will
be the same for all online classes.)
Course syllabus - all of the information below is also contained in the syllabus.
Homework assignments and solutions will be posted on Sakai.
Textbooks:
Prerequisite: Math 611 or familiarity with equivalent material
(fundamental group, simplicial/singular homology, CW complexes;
essentially the first two chapters of Hatcher). Math 620 or familiarity
with basic differential topology (smooth manifolds, tangent/cotangent
bundle, differential forms) will also be assumed, but this isn't an
ironclad prerequisite; please talk to me if you don't have previous
background in smooth manifolds.
Grading: There will be weekly/biweekly homework assignments and a take-home final exam for this course.
Here are the topics that I plan to cover in the course: