Abstract
A consequence of the resolution of the Nielsen Realization Problem is that if is any finite topological group of automorphisms of a compact oriented surface , then there exists a complex structure on so that the action of extends to a conformal action on . We show that this complex structure is unique if and only if is a triangle group, and for all other groups, there are infinitely many such actions.
Citation
A. Wootton. "EXTENDING TOPOLOGICAL GROUP ACTIONS TO CONFORMAL GROUP ACTIONS." Albanian J. Math. 1 (3) 133 - 143, 2007. https://doi.org/10.51286/albjm/1189239165
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