Hostname: page-component-7f64f4797f-kg7gq Total loading time: 0.001 Render date: 2025-11-07T17:33:04.787Z Has data issue: false hasContentIssue false
  • English
  • Français

Doubly-null-concordant simple even-dimensional knots

Published online by Cambridge University Press:  14 November 2011

C. Kearton
C. Kearton
Affiliation:
Department of Mathematical Sciences, University of Durham, Durham DH1 3LE
Get access Rights & Permissions [Opens in a new window]

Synopsis

The simple 2q-knots, q ≧ 5, for which contains no ℤ-torsion, have been classified in terms of Hermitian duality pairings on their homology and homotopy modules. In this paper, a necessary and sufficient condition is given for such a knot to be doubly-null-concordant.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 1-2 , 1984 , pp. 163 - 174
Copyright
Copyright © Royal Society of Edinburgh 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1Blanchfield, R. C.. Intersection theory of manifolds with operators with applications to knot theory. Ann. of Math. 65 (1957), 340–356.CrossRefGoogle Scholar
2Kearton, C.. Cobordism of knots and Blanchfield duality. J. London Math. Soc. 10 (1975), 406–408.CrossRefGoogle Scholar
3Kearton, C.. Simple knots which are doubly-null-cobordant. Proc. Amer. Math. Soc. 52 (1975), 471–472.CrossRefGoogle Scholar
4Kearton, C.. Obstructions to embedding and isotopy in the metastable range. Math. Ann. 243 (1979), 103–113.CrossRefGoogle Scholar
5Kearton, C.. An algebraic classification of certain simple knots. Arch. Math. 35 (1980), 391–393.CrossRefGoogle Scholar
6Kearton, C.. An algebraic classification of certain simple even-dimensional knots. Trans. Amer. Math. Soc. 276 (1983), 1–53.CrossRefGoogle Scholar
7Kearton, C.. Simple spun knots. Topology 23 (1984), 91–95.CrossRefGoogle Scholar
8Levine, J.. Doubly sliced knots. (Preprint).Google Scholar
9Spanier, E. H.. Algebraic Topology (New York: McGraw-Hill, 1966).Google Scholar
10Whitehead, G. W.. Elements of Homotopy Theory (Berlin: Springer, 1978).CrossRefGoogle Scholar