Hyperbolic rotations about links in 3-manifolds

Hyperbolic rotations about links in 3-manifolds

In this paper, we will show that for any link L in a closed orientable 3-manifold M , infinitely many hyperbolic 3-manifolds are obtained from M by Dehn surgeries so that each of them admits an orientation-preserving smooth finite cyclic group action with fixed point set L .

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Veröffentlicht in:Journal of geometry 2017-04, Vol.108 (1), p.111-118
1. Verfasser: Ikeda, Toru
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Manifolds
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper, we will show that for any link L in a closed orientable 3-manifold M , infinitely many hyperbolic 3-manifolds are obtained from M by Dehn surgeries so that each of them admits an orientation-preserving smooth finite cyclic group action with fixed point set L .
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-016-0328-0