Thicknesses of knots

Mathematical Proceedings of the Cambridge Philosophical Society

Volumn 126, Issue 2, 1999, Pages 293-310

  Diao, Y ^a   Ernst, C ^b   Janse Van Rensburg, E J ^c  

^a UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

^b WESTERN KENTUCKY UNIVERSITY   (United States)

^c YORK UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22644448483     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0305004198003338     Document Type: Article

References (8)

1. H. K. MOFFATT. The energy spectrum of knots and links. Nature 347 (1990), 367-369.
2. R. A. LITHERLAND, J. SIMON, O. DURUMERIC and R. RAWDON. Thickness of knots, preprint.
3. Y. DIAO, C. ERNST and E. J. JANSE VAN RENSBURG. Knots energies by ropes, to appear in J. Knot Theory and its Ramifications.
4. R. KUSNER and J. M. SULLIVAN. On distortion and thickness of knots, to appear in Topology and geometry in polymer science (Eds. S. G. Whittington, D. W. Sumners and T. Lodge). Proceedings of the 1995-1996 IMA program on Mathematical Methods in Material Science, Workshop 8, 10-16 June (1996).
5. K. C. MILLET. Personal correspondence. When the authors discussed this with K. C. Millet at the IMA in May 1996, he immediately described the outline of a possible proof. The proof here is inspired by his description.
6. S. FERRY. When ∈-boundaries are manifolds. Fund. Math. XC (1976), 199-210.
7. G. BUCK. Applications of the projection energy for knots, preprint.
8. Y. DIAO, C. ERNST and E. J. JANSE VAN RENSBURG. In search of a good polygonal knot energy function. Journal of Knot Theory and its Ramifications 6 (1997), 633-657.