Splittings of free groups from arcs and curves
Splittings of free groups from arcs and curves
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从圆弧和曲线中分割自由组
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Maxwell Forlini
中科院分区：
文献类型：
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作者：
Maxwell Forlini
证明了S_g^1 $的弧图是F_2g $的自由分裂复形的粗Lipschitz收缩核.我们还证明了$S_g^1$的弧曲线图是$F_{2g}$的循环分裂图和$F_{2g}$的最大循环分裂图的粗Lipschitz收缩核。
We show that the arc graph of $S_g^1$ is a coarse Lipschitz retract of the free splitting complex of $F_{2g}$. We also show that the arc and curve graph of $S_g^1$ is a coarse Lipschitz retract of both the cyclic splitting graph of $F_{2g}$ and the maximally cyclic splitting graph of $F_{2g}$.