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The Tait flyping conjecture
Author(s):
William W.
Menasco;
Morwen B.
Thistlethwaite
Journal:
Bull. Amer. Math. Soc.
25
(1991),
403-412.
MSC (1985):
Primary 57M25
MathSciNet review:
1098346
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References:
- [B-M] J. S. Birman and W. W. Menasco, Studying links via closed braids III: classifying links which are closed 3-braids, preprint. MR 1237139
- [B-S] F. Bonahon and L. Siebenmann, Algebraic knots, preprint.
- [D-T] C. H. Dowker and M. B. Thistlethwaite, Classification of knot projections, Topology Appl. 16 (1983), 19-31. MR 702617
- [G] C. Mc A. Gordon, Some aspects of classical knot theory, Lecture Notes in Math., vol. 685, Springer-Verlag, Berlin and New York, 1978, pp. 1-60. MR 521730
- [M] W. W. Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984), 37-44. MR 721450
- [M-P] K. Murasugi and J. Przytycki, An index of a graph with applications to knot theory, preprint. MR 1171835
- [M-T1] W. W. Menasco and M. B. Thistlethwaite, Essential surfaces with boundary in alternating knot exteriors, J. Reine Angew. Math, (to appear). MR 1155746
- [M-T2] W. W. Menasco and M. B. Thistlethwaite, The classification of alternating links, preprint.
- [S] A. Schrijver, Tait's flyping conjecture for well-connected links, preprint.
- [T1] M. B. Thistlethwaite, A spanning-tree expansion of the Jones polynomial, Topology 26(3) (1987), 297-309. MR 899051
- [T2] M. B. Thistlethwaite, An upper bound for the breadth of the Jones polynomial, Math. Proc. Cambridge Philos. Soc. 103 (1988), 451-456. MR 932668
- [T3] M. B. Thistlethwaite, On the Kauffman polynomial of an adequate link, Invent. Math. 93 (1988), 285-296. MR 948102
- [T4] M. B. Thistlethwaite, On the algebraic part of an alternating link, Pacific J. Math, (to appear). MR 1132393
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Additional Information:
DOI:
10.1090/S0273-0979-1991-16083-0
PII:
S 0273-0979(1991)16083-0
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