论文标题

在$ 2 $桥结组之间产生功能

Generating function on epimorphisms between $2$-bridge knot groups

论文作者

Suzuki, Masaaki

论文摘要

我们具有生成功能,该功能确定了$ 2 $桥结组的数量,在交叉数字上,在给定的2美元结的结组中承认赋予象征性的数量。在本文中,我们将通过考虑属以及交叉数来完善此公式。接下来,我们确定$ 2 $桥结组之间的表达数量。此外,我们讨论了第一张地图和$ 2 $桥结的第一步。

We have the generating function which determines the number of $2$-bridge knot groups admitting epimorphisms onto the knot group of a given $2$-bridge knot, in terms of crossing number. In this paper, we will refine this formula by taking account into genus as well as crossing number. Next, we determine the number of epimorphisms between fibered $2$-bridge knot groups. Moreover, we discuss degree one maps and $2$-bridge knots uknotting number one.

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