Results on the classification of rational 3-tangles

Journal of Knot Theory and its Ramifications

Volumn 13, Issue 2, 2004, Pages 175-192

  Cabrera Ibarra, Hugo ^a  

^a IPICyT   (Mexico)

Author keywords

Kauffman bracket polynomial; Knots; Tangles

Indexed keywords

EID: 7244258844     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021821650400307X     Document Type: Article

References (8)

1. J. Conway, On enumeration of knots and links and some of their related properties, in Computational Problems in Abstract Algebra: Proc. Conf. Oxford 1967 (Pergamon Press, 1970), pp. 329-358.
2. C. Ernst and D. Sumners, A calculus for rational tangles: applications to DNA recombination, Math. Proc. Camb. Phil. Soc. 108 (1990) 489-515.
3. C. Ernst and D. Sumners, Solving tangle equations arising in a DNA recombination model, Math. Proc. Camb. Phil. Soc. 126 (1999) 23-36.
4. D. W. Sumners, C. Ernst, S. Spengler and N. Cozzarelli, Analysis of the mechanisms of DNA recombination using tangles, Quarterly Review of Biophisycs 28 (1995) 253-313.
5. H. Cabrera-Ibarra, On the Classification of Rational 3-Tangles, preprint.
6. J. Emert and C. Ernst, N-string tangles, Journal of Knot Theory and its Ramifications 9(8) (2000) 987-1004.
7. J. R. Goldman and L. H. Kaufmann, Rational tangles, Adv. in App. Math. 18 (1997) 300-332.
8. H. Cabrera-Ibarra, Clasificación de 3-ovillos Racionales, Ph.D. Thesis, Centro de Investigación en Matemáticas, Guanajuato, México, 2001.