Pacific Journal of Mathematics

Crosscap number of a knot.

Hitoshi Murakami and Akira Yasuhara
Source: Pacific J. Math. Volume 171, Number 1 (1995), 261-273.
First Page: Show Hide
Primary Subjects: 57M25
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102370328
Zentralblatt MATH identifier: 0857.57004
Mathematical Reviews number (MathSciNet): MR1362987

References

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Mathematical Reviews (MathSciNet): MR1502807
Zentralblatt MATH: 53.0549.02
[2] G. Burde and H. Zieschang, Knots, de Gruyter Studies in Mathematics; 5, Wal- ter de Gruyter, Berlin, New York, 1985.
Mathematical Reviews (MathSciNet): MR87b:57004
[3] B.E. Clark, Crosscaps and knots, Internat. J. Math, and Math. Sci., 1 (1978), 113-123.
Mathematical Reviews (MathSciNet): MR57:17620
Zentralblatt MATH: 0386.57003
[4] C.McA. Gordon and R.A. Litherland, On the signature of a link, Invent. Math., 47 (1978), 53-69.
Mathematical Reviews (MathSciNet): MR58:18407
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[5] L.H. Kauffman, State models and the Jones polynomial, Topology, 26 (1987), 395- 407.
Mathematical Reviews (MathSciNet): MR88f:57006
Zentralblatt MATH: 0622.57004
[6] W.B.R. Lickorish, Unknotting by adding a twisted band, Bull. London Math. Soc, 18 (1986), 613-615.
Mathematical Reviews (MathSciNet): MR88e:57008
Zentralblatt MATH: 0608.57007
[7] K. Murasugi, Jones polynomial and classical conjectures in knot theory, Topology, 26 (1987), 187-194.
Mathematical Reviews (MathSciNet): MR88m:57010
Zentralblatt MATH: 0628.57004
[8] I. Niven, H.S. Zuckerman, and H.L. Montgomery, An Introductionto the Theory of Numbers (Fifth Edition), John Wiley & Sons, Inc., New York, Chichester, Brisbane, Toronto, Singapore, 1991.
Mathematical Reviews (MathSciNet): MR91i:11001
Zentralblatt MATH: 0742.11001
[9] D. Rolfsen, Knots and Links, Publish or Perish, Inc., Berkeley, 1975.
[10] H. Schubert, Die eindeutige Zerlegbarkeit eines Knoten in Primknoten, S. -B. Hei- delberger Akad. Wiss. Math.-Nat. Kl., 3 (1949), 57-104.
Mathematical Reviews (MathSciNet): MR11:196f
Zentralblatt MATH: 0031.28602
[11] H. Seifert, Uber das Geschlecht von Knoten, Math. Ann., 110 (1934), 571-592.
[12] M.B. Thistlethwaite, A spanning tree expantion of the Jones polynomial, Topology, 26 (1987), 297-309.
Mathematical Reviews (MathSciNet): MR88h:57007
Zentralblatt MATH: 0622.57003

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