亞歷山大多項式

在纽结理论中，亚历山大多项式（Alexander polynomial）是一种紐結多項式。

亚历山大–康威多项式

• \nabla(O) = 1 (unknot)
• \nabla(L_+) - \nabla(L_-) = z \nabla(L_0)

\Delta_L(t^2) = \nabla_L(t - t^{-1})

\Delta(L_+) - \Delta(L_-) = (t^{1/2} - t^{-1/2}) \Delta(L_0)

参考文献
阅读
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• (accessible introduction utilizing a skein relation approach)

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• (covers several different approaches, explains relations between different versions of the Alexander polynomial)

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• (explains classical approach using the Alexander invariant; knot and link table with Alexander polynomials)

外部链接
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• "Main Page" and "The Alexander-Conway Polynomial", The Knot Atlas. – knot and link tables with computed Alexander and Conway polynomials