Addendum to: Commensurations of the Johnson kernel

Details Addendum to: Commensurations of the Johnson kernel Addendum to: Commensurations of the Johnson kernel

2007-10-16

arxiv.org/abs/0710.3089v1

Mathematics

Geometric Topology

4 pages, 2 figures; to appear in Geometry and Topology

Scientific paper

Let K(S) be the subgroup of the extended mapping class group, Mod(S), generated by Dehn twists about separating curves. In our earlier paper, we showed that Comm(K(S)) and Aut(K(S)) are both isomorphic to Mod(S) when S is a closed, connected, orientable surface of genus g at least 4. By modifying our original proof, we show that the same result holds for g at leat 3, thus confirming Farb's conjecture in all cases (the statement is not true for any g less than 3).

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