Morse theory in dimensions three and four

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Morse theory is a branch of differential topology. Equipping a manifold with a generic real-valued function allows one to use differential techniques to study fundamental topological properties of the manifold.   This project will focus on applications of Morse theory to low-dimensional manifolds.  Possible topics include

  • the relationship with surface mapping class groups and
  • Morse 2-functions on 3- and 4-manifolds.

Duration: 1 or 2 semesters

Updated:  19 October 2017/Responsible Officer:  Director/Page Contact:  School Manager