Differential topology and Morse theory (MAGIC002)
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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.
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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.
No assignments have been set for this course.
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