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Rigidity and Flexibility for Handlebody Groups
If you have a question about this talk, please contact Ivan Smith.
The handlebody group is the subgroup of the mapping class group of a surface formed by those mapping classes which extend to a handlebody. We will study rigidity phenomena of this group as a subgroup of the mapping class group. On the one hand, the group is rigid: any inclusion (of a finite index subgroup of) the genus g handlebody group in the genus g mapping class group is simply a conjugation. On the other hand, once we consider inclusions in other mapping class groups, rigidity ceases to hold.
This talk is part of the Differential Geometry and Topology Seminar series.
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