Differential topology and Morse theory (MAGIC002)
There are no announcements
The course will give an introduction to Morse Theory. This theory studies the topology of smooth manifolds through real-valued smooth functions whose critical points satisfy a certain non-degeneracy condition. We will investigate how the homotopy type is related to critical points and how the homology of a manifold can be calculated through Morse functions.
Spring 2019 (Monday, January 21 to Friday, March 29)
Basic knowledge of Differentiable Manifolds and Algebraic Topology is necessary. This can be obtained through the Core Courses MAGIC063 and MAGIC064.
Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.)
Assessment is via take-home examination. There will be four questions. The best three answers will count towards pass/fail, and you will need 50% to pass the examination.
Files marked L are intended to be displayed on the main screen during lectures.
Please log in to view lecture recordings.