Nullification writhe and chirality of alternating links

Journal of Knot Theory and its Ramifications

Volumn 6, Issue 5, 1997, Pages 621-632

  Cerf, Corinne ^a,b,c  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b PRINCETON UNIVERSITY   (United States)

^c FNRS   (Belgium)

Author keywords

Chirality; Link; Nullification writhe; Remaining writhe; Writhe

Indexed keywords

EID: 0031524903     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218216597000340     Document Type: Article

References (13)

1. P. G. Tait, On knots I, II, III, in: Scientific Papers Vol. I, Cambridge University Press, London (1898) 273-347.
2. E. Flapan, Topological techniques to detect chirality, in: New Developments in Molecular Chirality, ed. P. G. Mezey, Kluwer Academic Publishers, Dordrecht (1991) 209-239.
3. C. Liang and K. Mislow, Topological chirality and achirality of links, J. Math. Chem. 18 (1995) 1-24.
4. D. Sola, Nullification number and flyping conjecture, Rend. Sem. Mat. Univ. Padova 86 (1991) 1-16.
5. R. J. Wilson, Introduction to Graph Theory, Longman and Wiley, New York (1985)
6. M. A. Armstrong, Basic Topology, Springer-Verlag, New York (1983)
7. W. W. Menasco and M. B. Thistlethwaite, The Tait flyping conjecture, Bull. Am. Math. Soc. 25 (1991) 403-412.
8. C. Liang and K. Mislow, A left-right classification of topologically chiral knots, J. Math. Chem. 15 (1994) 35-62.
9. C. Liang, C. Cerf and K. Mislow, Specification of chirality for links and knots, J. Math. Chem. 19 (1996) 241-263.
10. D. Rolfsen, Knots and Links (Publish or Perish, Berkeley, 1976; second printing with corrections: Publish or Perish, Houston, 1990) Appendix C: Table of knots and links 388-429.
11. H. Doll and J. Hoste, A tabulation of oriented links, Math. Comput. 57 (1991) 747-761. Links are depicted in the Appendix A of the microfiche supplement.
12. J. H. Conway, An enumeration of knots and links, and some of their algebraic properties, in: Computational Problems in Abstract Algebra, ed. J. Leech, Pergamon Press, Oxford (1970) 329-358.
13. R. H. Crowell, Genus of alternating link types, Ann. of Math. 69 (1959) 258-275.