Surface mapping class groups
The symmetries of a manifold are described by its mapping class group, and the mapping class group (MCG) of a surface is a particularly important object.
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This project is open for Bachelor, Honours and Masters students.
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The symmetries of a manifold are described by its mapping class group, and the mapping class group (MCG) of a surface is a particularly important object. The MCG admits finite presentations by generators and relations, and this project will study the construction of these presentations.
Duration: 1 or 2 semesters