辛群、映射类群和辫群中的扭共轭类（包括与Francois Dahmani合著的附录）
Twisted conjugacy classes in Symplectic groups, Mapping class groups and Braid groups(including an Appendix written with Francois Dahmani)
摘要：
证明了紧致曲面$S$的辛群$Sp(2n,\mathbb Z)$和映射类群$Mod_{S}$满足$R_{\infty}$性质.我们还表明，$B_n(S)$，全辫子群$n$ -弦的表面$S$，满足$R_{\infty}$性质的情况下，$S$是光盘$D$，或领域$S^2$。这意味着对于$G$的任何自同构$ϕ$，其中$G$是上述群之一，扭曲$ϕ$ -共轭类的数量是无限的。
英文摘要：
We prove that the symplectic group $Sp(2n,\mathbb Z)$ and the mapping class group $Mod_{S}$ of a compact surface $S$ satisfy the $R_{\infty}$ property. We also show that $B_n(S)$, the full braid group on $n$-strings of a surface $S$, satisfies the $R_{\infty}$ property in the cases where $S$ is either the compact disk $D$, or the sphere $S^2$. This means that for any automorphism $ϕ$ of $G$, where $G$ is one of the above groups, the number of twisted $ϕ$-conjugacy classes is infinite.
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