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Integer invariants of certain even-dimensional knots


Author: C. Kearton
Journal: Proc. Amer. Math. Soc. 93 (1985), 747-750
MSC: Primary 57Q45; Secondary 57N70
DOI: https://doi.org/10.1090/S0002-9939-1985-0776214-X
MathSciNet review: 776214
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Abstract: Integer invariants of certain simple $ {\mathbf{Z}}$-torsion-free $ 2q$-knots, $ q \geqslant 4$, are defined. It is shown that for $ q \geqslant 5$, certain of these invariants must vanish, $ \mod 2$, if the knot is doubly-null-concordant.


References [Enhancements On Off] (What's this?)

  • [1] C. Kearton, An algebraic classification of certain simple even-dimensional knots, Trans. Amer. Math. Soc. 276 (1983), 1-53. MR 684492 (84g:57016)
  • [2] -, Doubly-null concordant simple even-dimensional knots, Proc. Roy. Soc. Edinburgh Sect. A 96 (1984), 163-174. MR 741655 (85j:57034)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0776214-X
Keywords: High-dimensional knot, doubly-null concordant, hermitian pairing
Article copyright: © Copyright 1985 American Mathematical Society

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