Trace fields of twist knots

Journal of Knot Theory and its Ramifications

Volumn 10, Issue 4, 2001, Pages 625-639

  Hoste, Jim ^a   Shanahan, Patrick D ^b  

^a PITZER COLLEGE   (United States)

^b LOYOLA MARYMOUNT UNIVERSITY   (United States)

Author keywords

Hyperbolic knot; Trace field; Twist knot

Indexed keywords

EID: 0345817260     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216501001049     Document Type: Article

References (6)

1. W. P. Thurston, The geometry and topology of 3-manifolds, lecture notes from Princeton University (1977).
2. A. W. Reid, A note on the trace field of Kleinian groups, Bull. London Math. Soc. 22 (1990) 349-352.
3. P. J. Callahan and A. W. Reid, Hyperbolic Structures on Knot Complements, Chaos, Solitons & Fractals Vol. 9, No. 4/5 (1998) 705-738.
4. W. D. Neumann and A. W. Reid, Arithmetic of hyperbolic manifolds, Topology '90, de Gruyter, Berlin, (1992) 273-310.
5. I. R. Aitchison and J. H. Rubinstein, Combinatorial Cubings, Cusps, and the Dodecahedral Knots, Topology '90, de Gruyter, Berlin, (1992) 17-26.
6. R. Riley, Parabolic Representations of Knot Groups, I, Proc. London Math. Soc. (3) 24 (1972) 217-242.