论文标题

自由因素复合物和自由型组的二元模块

The free factor complex and the dualizing module for the automorphism group of a free group

论文作者

Himes, Zachary, Miller, Jeremy, Nariman, Sam, Putman, Andrew

论文摘要

回答Hatcher-Vogtmann的问题,我们证明自由因素复合体的顶级同源组不是$ \ text {aut}(f_n)$的双重化模块,至少是$ n = 5 $。

Answering a question of Hatcher-Vogtmann, we prove that the top homology group of the free factor complex is not the dualizing module for $\text{Aut}(F_n)$, at least for $n = 5$.

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