Nielsen realization for infinite-type surfaces
نویسندگان
چکیده
Given a finite subgroup G of the mapping class group surface S, Nielsen realization problem asks whether can be realized as homeomorphisms S. In 1983, Kerckhoff showed that for S finite-type surface, any may isometries some hyperbolic metric on We extend Kerckhoff's result to orientable, infinite-type surfaces. As applications, we classify torsion elements in plane minus Cantor set, and also show topological groups containing sequences limiting identity do not embed continuously into Finally, compact subgroups are finite, locally discrete.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2021
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15316