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Apr 10, 2020 at 15:28 comment added YCor I'd be curious whether considering conjugation in $\mathrm{MCG}^+$ (group of oriented self-diffeotopies) is equivalent to conjugation (of elements of $\mathrm{MCG}^+$) in $\mathrm{MCG}^\pm$ (the group of all self-diffeotopies, which is also $\mathrm{Out}(\Gamma_g)$ for a closed surface of genus $g$). For instance this fails in the $2$-torus, since a non-trivial unipotent matrix is conjugate to its inverse in $\mathrm{GL}_2(\mathbf{Z})$, but not in $\mathrm{SL}_2(\mathbf{Z})$.
Jan 1, 2020 at 18:51 history became hot network question
Jan 1, 2020 at 16:13 history edited YCor CC BY-SA 4.0
removed capitals, added tag
Jan 1, 2020 at 14:43 history edited user8253417 CC BY-SA 4.0
typo
Jan 1, 2020 at 14:35 vote accept user8253417
Jan 1, 2020 at 12:16 answer added HJRW timeline score: 16
Jan 1, 2020 at 11:41 answer added user6976 timeline score: 10
Jan 1, 2020 at 10:44 history asked user8253417 CC BY-SA 4.0