附录：约翰逊核的补偿
Addendum to: Commensurations of the Johnson kernel
摘要：
设K（S）是Dehn关于分离曲线的扭曲生成的扩展映射类群Mod（S）的子群。在前面的文章中，我们证明了当S是亏格至少为4的闭连通可定向曲面时，Comm（K（S））和Aut（K（S））都同构于Mod（S）.通过修改我们原来的证明，我们表明，同样的结果成立的g至少3，从而证实了法布猜想在所有情况下（声明是不正确的任何g小于3）。
英文摘要：
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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