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arXiv 0704.3940math.GT
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通过Alexander多项式对纽结进行变形旋转的障碍

An obstruction to a knot being deform-spun via Alexander polynomials

Ryan Budney, Alexandra Mozgova

摘要:

我们表明,如果一个co-dimension 2结是从一个低维co-dimension 2结变形旋转,有亚历山大多项式的约束。特别地,这表明,对于所有的n,不是所有的S^n中的余维2的纽结都是从S^{n-1}中的纽结变形旋转的。

英文摘要:

We show that if a co-dimension two knot is deform-spun from a lower-dimensional co-dimension 2 knot, there are constraints on the Alexander polynomials. In particular this shows, for all n, that not all co-dimension 2 knots in S^n are deform-spun from knots in S^{n-1}.

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