Solving oriented tangle equations involving 4-plats

Journal of Knot Theory and its Ramifications

Volumn 14, Issue 8, 2005, Pages 1007-1027

  Darcy, Isabel K ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

4 plats; DNA topology; Rational 2 bridge; Tangle

Indexed keywords

EID: 30444458532     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216505004214     Document Type: Article

References (12)

1. J. Bath, D. J. Sherratt and S. D. Colloms, Topology of Xer recombination on catenanes produced by lambda integrase, J. Mol. Biol. 289(4) (1999) 873-883.
2. G. Burde and H. Zieschang, Knots, De Gruyter Studies in Mathematics, Vol. 5 (Walter de Gruyter, 1985).
3. N. J. Crisona, R. L. Weinberg, B. J. Peter, D. W. Sumners and N. R. Cozzarelli, The topological mechanism of phage lambda integrate, J. Mol. Biol. 289(4) (1999) 747-775.
4. M. Culler, C. Gordan, J. Luecke and P. Shalen, Dehn surgery on knots, Ann. Math. 125 (1987) 237-300.
5. I. Darcy, Solving unoriented tangle equations involving 4-plats, J. Knot Theory Ramifications, in this issue.
6. C. Ernst, Tangle equations, J. Knot Theory Ramifications 5 (1996) 145-159.
7. C. Ernst and D. W. Sumners, A calculus for rational tangles: Applications to DNA recombination, Math. Proc. Cambridge Philos. Soc. 108 (1990) 489-515.
8. J. R. Goldman and L. H. Kauffman, Rational tangles, Adv. Appl. Math. 3 (1997) 300-332.
9. M. Hirasawa and K. Shimokawa, Dehn surgeries on strongly invertible knots which yield lens spaces, Proc. Amer. Math. Soc. 128 (2000) 3445-3451.
10. P. Kronheimer, T. Mrowka, P. Ozsvath and Z. Szabo, Monopoles and lens space surgeries, preprint (2004), math.GT/0310164.
11. S. Pathania, M. Jayaram and R. M. Harshey, Path of DNA within the Mu transpososome. Transposase interactions bridging two Mu ends and the enhancer trap five DNA supercoils, Cell 109(4) (2002) 425-436.
12. J. Roberts, Elementary Number Theory: A Problem Oriented Approach (MIT Press, Cambridge, MA, 1977).