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Transactions of the American Mathematical Society

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

 

 

On the signature of knots and links


Author: Yaichi Shinohara
Journal: Trans. Amer. Math. Soc. 156 (1971), 273-285
MSC: Primary 55.20
MathSciNet review: 0275415
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1971-0275415-1
Keywords: Signature of links, Seifert matrix
Article copyright: © Copyright 1971 American Mathematical Society