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May 22, 2015 at 16:50 vote accept Xiao-Gang Wen
May 22, 2015 at 16:49 comment added Xiao-Gang Wen With your hint, I found the following paper www-irma.u-strasbg.fr/~massuyea/talks/MCG.pdf. Theorem 3.3 answer my question above, but for the case of five generators. Thanks!
May 21, 2015 at 22:56 comment added Igor Rivin @Xiao-GangWen true, I was careless in reading. For $g=2$ use the Birman-Hilden (really Bergau-Mennike) presentation instead of Wajnryb's, as now stated.
May 21, 2015 at 22:55 history edited Igor Rivin CC BY-SA 3.0
fixed argument.
May 21, 2015 at 22:39 review Low quality posts
May 21, 2015 at 22:39
May 21, 2015 at 22:15 comment added Xiao-Gang Wen It seems the section 6 is about $g\geq 3$.
May 21, 2015 at 22:13 history answered Igor Rivin CC BY-SA 3.0