Integer invariants of certain even-dimensional knots

Kearton, C.

doi:10.1090/S0002-9939-1985-0776214-X

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Integer invariants of certain even-dimensional knots
HTML articles powered by AMS MathViewer

by C. Kearton PDF

Proc. Amer. Math. Soc. 93 (1985), 747-750 Request permission

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

C. Kearton, An algebraic classification of certain simple even-dimensional knots, Trans. Amer. Math. Soc. 276 (1983), no. 1, 1–53. MR 684492, DOI 10.1090/S0002-9947-1983-0684492-3
C. Kearton, Doubly-null-concordant simple even-dimensional knots, Proc. Roy. Soc. Edinburgh Sect. A 96 (1984), no. 1-2, 163–174. MR 741655, DOI 10.1017/S0308210500020552