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On the signature of knots and links

On the signature of knots and links

In 1965, K. Murasugi introduced an integral matrix <italic>M</italic> of a link and defined the signature of the link by the signature of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M plus upper M prime"> <mml:semantics> <mml:mrow> <mml:mi>M</mml:mi> <mml:mo>+</mml:mo> <mml:msup> <mml:mi>M</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">M + M’</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. In …