A small normal generating set for the handlebody subgroup of the Torelli group

Abstract

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.

13 pages, 10 figures

References in corpus (1)

• The complex of partial bases for F_n and finite generation of the Torelli subgroup of Aut(F_n)

Cited by in corpus (1)

• The Rohlin invariant and Z/2-valued invariants of homology spheres