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.
Autumn 2011 (Monday, October 10 to Friday, December 16)
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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The Assessment for this course will be via a take-home examination, which will be made available shortly after the end of the course on 13 December. The examination will consists of five questions, and you will need to obtain 40% to pass the course. The deadline for completing the examination is 13 January 2012.
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