Quotients of the curve complex
GROUPS GEOMETRY AND DYNAMICS(2024)
摘要
We consider three kinds of quotients of the curve complex, which are obtained by coning off uniformly quasiconvex subspaces: symmetric curve sets, non-maximal train track sets, and compression body disc sets. We show that the actions of the mapping class group on those quotients are strongly weakly properly discontinuously (WPD), which implies that the actions are non-elementary and those quotients are of infinite diameter.
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关键词
surface,curve complex,mapping class group,train track,compression body
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