Periodic homeomorphisms of 3-manifolds fibered over 𝑆¹

Tollefson, Jeffrey L.

doi:10.1090/S0002-9947-1976-0431177-0

Periodic homeomorphisms of $3$-manifolds fibered over $S^{1}$
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by Jeffrey L. Tollefson

Trans. Amer. Math. Soc. 223 (1976), 223-234

DOI: https://doi.org/10.1090/S0002-9947-1976-0431177-0

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Erratum: Trans. Amer. Math. Soc. 243 (1978), 309-310.

Abstract:

Two problems concerning periodic homeomorphisms of 3-manifolds are considered. The first is that of obtaining systems of incompressible surfaces invariant under a given involution. The second problem is the realization by a periodic homeomorphism of an element of finite order in the mapping class group of a 3-manifold. Solutions to both problems are obtained in certain instances.

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