most citedBraid groups and mapping class groups for 2-orbifolds

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math.GT2023★ 2 cited

Braid groups and mapping class groups for 2-orbifolds

Jonas Flechsig

The main result of this article is that pure orbifold braid groups fit into an exact sequence $1\rightarrow K\rightarrowπ_1^{orb}(Σ_Γ(n-1+L))\xrightarrow{ι_{\textrm{PZ}_n}}\textrm{…

math.GT2023

Mapping class groups for 2-orbifolds

Jonas Flechsig

We define orbifold mapping class groups (with marked points) and study them using their action on certain orbifold analogs of arcs and simple closed curves. Moreover, we establish…