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M\"obius invariance of knot energy
Author(s):
Steve
Bryson;
Michael
H.
Freedman;
Zheng-Xu
He;
Zhenghan
Wang
Journal:
Bull. Amer. Math. Soc.
28
(1993),
99-103.
MSC (1991):
Primary 57M25, 49Q10;
Secondary 53A04, 57N45, 58E30
MathSciNet review:
1168514
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References |
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Additional information
References:
- [A]
- K. Ahara, Energy of a knot, {\rm screened at Topology Conf., Univ. of Hawaii, August 1990}, {\rm K. H. Dovermann, organizer}. MR
- [FH]
- M. H. Freedman and Z.-X. He, On the `energy' of knots and unknots. MR
- [O1]
- Jun O'Hara, Energy of a knot, Topology \textbf{30} (1991), 241--247. MR 1098918
- [O2]
- Jun O'Hara, Family of energy functionals of knots, Topology Appl. MR 1195506
- [O3]
- Jun O'Hara, Energy functionals of knots {\rm (K. H. Dovermann, ed.), World Scientific, Singapore}. MR 1181493
- [S]
- De Witt Sumners, The growth of the number of prime knots, Math. Proc. Cambridge Philos. Soc. \textbf{102} (1987), 303--315. MR 898150
- [T]
- W. T. Tutte, A census of planar maps, Canad. J. Math. \textbf{15} (1963), 249--271. MR 146823
- [W]
- D. J. A. Welsh, On the number of knots, {\rm preprint}. MR
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57M25, 49Q10, 53A04, 57N45, 58E30
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(1991):
57M25, 49Q10, 53A04, 57N45, 58E30
Additional Information:
DOI:
10.1090/S0273-0979-1993-00348-3
PII:
S 0273-0979(1993)00348-3
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