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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On the signature of knots and links
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by Yaichi Shinohara PDF
Trans. Amer. Math. Soc. 156 (1971), 273-285 Request permission

Abstract:

In 1965, K. Murasugi introduced an integral matrix M of a link and defined the signature of the link by the signature of $M + M’$. In this paper, we study some basic properties of the signature of links. We also describe the effect produced on the signature of a knot contained in a solid torus by a further knotting of the solid torus.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 156 (1971), 273-285
  • MSC: Primary 55.20
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0275415-1
  • MathSciNet review: 0275415