论文标题

扭曲的亚历山大多项式隧道的多项式蒙特西诺斯结

Twisted Alexander polynomials of tunnel number one Montesinos knots

论文作者

Aso, Airi

论文摘要

我们计算了与$ SL_2(\ Mathbb {c})$相关的所有隧道的扭曲的亚历山大多项式的$ - 表示并获得其领先的系数和学位。 作为推论,我们得到了一些有趣的例子,即具有非元素亚历山大多项式的非纤维结,它们具有非含扭曲的亚历山大多项式。

We calculate the twisted Alexander polynomials of all tunnel number one Montesinos knots associated to their $SL_2(\mathbb{C})$-representations and obtain their leading coefficients and degrees. As a corollary, we get some interesting examples, that is, nonfibered knots with monic Alexander polynomials which have non-monic twisted Alexander polynomials.

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