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Invariant Trace Fields of Chain Links
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  • Journal title : Kyungpook mathematical journal
  • Volume 56, Issue 1,  2016, pp.257-271
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2016.56.1.257
 Title & Authors
Invariant Trace Fields of Chain Links
Ryou, Kazuhiro;
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In this paper, we compute the trace field of C(2, s), the complement of two component chain link with s left half twists in , for every s. As a result, for every , we can find such that the degree of the trace field of C(2, s) is n. We also prove that if for fixed p, the degree of the trace field of C(p, s) runs over , then p is contained in {1, 2, 4, 8}.
Kleinian groups;Trace fields;Chain links;
 Cited by
J. Hoste and P. Shanahan, Trace fields of twist knot, J. Knot Theory and its Ramifications, 10(2001), 625-639. crossref(new window)

C. Maclachlan and A. Reid, The Arithmetic of Hyperbolic 3-Manifolds, Springer, New York, 2003.

K. Matsuzaki and M. Taniguchi, Hyperbolic Manifolds and Kleinian Groups, Oxford University Press, Oxford, 1998.

W. Neumann and A. Reid, Arithmetic of hyperbolic manifolds, In Topology'90, 273-310, de Gruyter, Berlin, 1990.