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Hidden Symmetries of Cyclic Branched Coverings of 2-Bridge Knots
Reni, Marco
Vesnin, Andrei
2001
Abstract
We consider hyperbolic 3-manifolds $M_{n}\left(k\right)$, which are
n-fold cyclic branched coverings of 2-bridge knots K. We show that
for n $\geq$ 5 the orientation-preserving isometry group of $M_{n}\left(k\right)$
either is a lift of a symmetry group of K or has a very special structure.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 suppl. 1 (2001)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Marco Reni and Andrei Vesnin, "Hidden symmetries of cyclicbranched coverings of 2-bridge knots", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.1, pp. 289–304.
Languages
en
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