6. Relationships to mapping class groups
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Problem 6.1.
Which Artin groups embed in the mapping class group of a surface? -
In [MR1911508], several Artin groups are shown to be mapping class groups of certain orbifolds.
Problem 6.2.
For an Artin group A and orbifold \mathcal O with A \cong MCG(\mathcal O), is there a (reasonably defined) curve complex for \mathcal O which agrees with the complex of irreducible parabolics for A?
Cite this as: AimPL: Geometry and topology of Artin groups, available at http://aimpl.org/geomartingp.