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Feb 12, 2014 at 9:46 comment added Lucien Concerning the second exact sequence: when $g=1$ and $n\geq 2$ (or when $g=0$ and $n\geq 3$), it is necessary to replace $B(g,n)$ by its quotient by its (non-trivial) center to still have the exactness (cf. Theorem 4.2 p. 152 in "Braids, Links and MCGs" by Birman).
Sep 1, 2013 at 15:31 history edited Lee Mosher CC BY-SA 3.0
fixed the subscript in SL_2 Z
Dec 30, 2009 at 0:39 vote accept john mangual
Dec 22, 2009 at 3:07 history answered Andy Putman CC BY-SA 2.5