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Lifting homeomorphisms and cyclic branched covers of spheres. (English) Zbl 1383.57001

Summary: We characterize the cyclic branched covers of the 2-sphere where every homeomorphism of the sphere lifts to a homeomorphism of the covering surface. This answers a question that appeared in an early version of the erratum [J. S. Birman and H. M. Hilden, Ann. Math. (2) 185, No. 1, 345 (2017; Zbl 1420.57053)].

MSC:

57M12 Low-dimensional topology of special (e.g., branched) coverings

Citations:

Zbl 1420.57053
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