A small normal generating set for the handlebody subgroup of the Torelli group
classification
🧮 math.GT
math.GR
keywords
grouphandlebodysubgroupgeneratingnormalorientablesurfacetorelli
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We prove that the handlebody subgroup of the Torelli group of an orientable surface is generated by genus one BP-maps. As an application, we give a normal generating set for the handlebody subgroup of the level $d$ mapping class group of an orientable surface.
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