Mapping class groups for 2-orbifolds

Jonas Flechsig

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arXiv · 2305.04272

Mapping class groups for 2-orbifolds

Jonas Flechsig

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Abstract

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 a Birman exact sequence for suitable subgroups of orbifold mapping class groups. The short exact sequence allows us to deduce finite presentations of these groups. This is the basis for a similar discussion of orbifold braid groups in [6].

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BibTeX RIS

Jonas Flechsig. 2023-05-07. Mapping class groups for 2-orbifolds. https://arxiv.org/abs/2305.04272

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