A theory of genera for cyclic coverings of links
A theory of genera for cyclic coverings of links
复制标题
链接循环覆盖的泛属理论
DOI：
10.3792/pjaa.77.115
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
M. Morishita
中科院分区：
文献类型：
--
作者：
M. Morishita
继结和素数、3-流形和数域之间的概念类比之后，我们讨论了在高斯发起的属算术理论模型之后的结理论中的类比。我们沿着 Iyanaga-Tamakawa 的有理数域上的循环扩展的属理论提出了一个链接循环覆盖的类比。我们还给出了主属定理不成立的 Z/2Z x Z/2Z 覆盖链接的示例。
Following the conceptual analogies between knots and primes, 3-manifolds and number fields, we discuss an analogue in knot theory after the model of the arithmetical theory of genera initiated by Gauss. We present an analog for cyclic coverings of links following along the line of Iyanaga-Tamagawa's genus theory for cyclic extentions over the rational number field. We also give examples of Z/2Z x Z/2Z-coverings of links for which the principal genus theorem does not hold.
关于结和素数之间的类比
DOI：
--
发表时间：
--
期刊：
3-manifolds and number rings, to appear in Sugaku Expositions, AMS
影响因子：
--
作者：
M. Morishita;Y. Terashima;M. Morishita;M. Morishita
通讯作者：
M. Morishita