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signature of a link

链环的符号差

本站译名 几何拓扑与低维拓扑 义项编号TS-2257

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Symplectic Geometry 封面

《Symplectic Geometry》 · 第 144 页 · Section 6.6,Definition 6.6.4(普通 signature;不指参数化的 ω-signature)

The signature of a link \(L\), written \(\sigma(L)\), is the signature of \(M+M^{\mathrm T}\) where \(M\) is any Seifert matrix for \(L\). […] The signature of a diagonal matrix is the number of positive entries minus the number of negative entries. […] More importantly for us, congruence preserves signature — a result known as Sylvester’s Theorem.

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