The Tait flyping conjecture
William W. Menasco and Morwen B. Thistlethwaite
Source: Bull. Amer. Math. Soc. (N.S.) Volume 25, Number 2 (1991), 403-412.
Primary Subjects: 57M25
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bams/1183657189
Mathematical Reviews number (MathSciNet):
MR1098346
Zentralblatt MATH identifier:
0745.57002
References
[B-M] J. S. Birman and W. W. Menasco, Studying links via closed braids III: classifying links which are closed 3-braids, preprint.
Zentralblatt MATH:
0813.57010
Mathematical Reviews (MathSciNet):
MR1237139
[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.
Zentralblatt MATH:
0516.57002
Mathematical Reviews (MathSciNet):
MR702617
[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.
Zentralblatt MATH:
0386.57002
Mathematical Reviews (MathSciNet):
MR521730
[M] W. W. Menasco, Closed incompressible surfaces in alternating knot and link complements, Topology 23 (1984), 37-44.
Zentralblatt MATH:
0525.57003
Mathematical Reviews (MathSciNet):
MR721450
[M-P] K. Murasugi and J. Przytycki, An index of a graph with applications to knot theory, preprint.
Zentralblatt MATH:
0792.05047
Mathematical Reviews (MathSciNet):
MR1171835
[M-T1] W. W. Menasco and M. B. Thistlethwaite, Essential surfaces with boundary in alternating knot exteriors, J. Reine Angew. Math, (to appear).
Zentralblatt MATH:
0737.57002
Mathematical Reviews (MathSciNet):
MR1155746
[M-T2] W. W. Menasco and M. B. Thistlethwaite, The classification of alternating links, preprint.
Zentralblatt MATH:
0809.57002
[S] A. Schrijver, Tait's flyping conjecture for well-connected links, preprint.
Zentralblatt MATH:
0831.57002
[T1] M. B. Thistlethwaite, A spanning-tree expansion of the Jones polynomial, Topology 26(3) (1987), 297-309.
Zentralblatt MATH:
0622.57003
Mathematical Reviews (MathSciNet):
MR899051
[T2] M. B. Thistlethwaite, An upper bound for the breadth of the Jones polynomial, Math. Proc. Cambridge Philos. Soc. 103 (1988), 451-456.
Zentralblatt MATH:
0668.57011
Mathematical Reviews (MathSciNet):
MR932668
[T3] M. B. Thistlethwaite, On the Kauffman polynomial of an adequate link, Invent. Math. 93 (1988), 285-296.
Zentralblatt MATH:
0645.57007
Mathematical Reviews (MathSciNet):
MR948102
[T4] M. B. Thistlethwaite, On the algebraic part of an alternating link, Pacific J. Math, (to appear).
Zentralblatt MATH:
0745.57003
Mathematical Reviews (MathSciNet):
MR1132393
Bulletin (New Series) of the American Mathematical Society