Math 550: Differentiable Manifolds II

David Dumas

University of Illinois at Chicago
Spring 2019

[Hopf fibration]
Primary text J.M. Lee, Introduction to Smooth Manifolds. (Springer GTM, 2012)
Free ebook through UIC
Lectures MWF at 9am in 317 Taft Hall
Instructor email david@dumas.io
Instructor office hours MWF 11am
Exception: No office hours April 5
CRN 37861

About the course

Building on the foundational material from Math 549, we will discuss several aspects of the geometry and topology of smooth manifolds. The course will be divided into three roughly equal units focusing on the following topics:

Supplementary texts

Most of the material we will cover can be found in the main textbook (Lee); however, we will occasionally cover material drawn from the supplementary texts listed below. These books may also be useful for students seeking a second exposition of material that is included in the primary text.

Documents

Problem sets

Problem sets and their due dates are listed below. Be sure to read the syllabus which has more detailed policies and requirements about your solutions to the problems. Unless otherwise noted, problem sets are due in class at the beginning of the lecture.

Lecture topics

Links and resources

Here we collect citations for further reading about course material (beyond the course texts) and links to relevant online materials. Links marked * are available with UIC's subscription by using on-campus computers or the library's proxy service.

LaTeX

Students who are learning TeX / LaTeX and who want to typeset their homework may find this template helpful:
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