The first Alexander ZåZç-modules of surface-links and of virtual links
The first Alexander ZåZç-modules of surface-links and of virtual links
复制标题
第一个 Alexander ZåZç-表面链接和虚拟链接模块
DOI：
10.2140/gtm.2008.14.353
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
A. Kawauchi
中科院分区：
文献类型：
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作者：
A. Kawauchi
我们刻画了确定分支个数和总亏格的4-球面上第一个带状曲面环的Alexander ZaZc-模，然后刻划了确定分支个数的4-球面上的第一个Alexander ZaZc-模。利用带状环链的结果，我们还刻画了第一个固定分支数的虚链的Alexander ZaZc-模。对于一般的表环，利用第一Alexander ZaZc模给出了总亏格的估计。首先给出了所有表环的Alexander ZaZc-模的分次结构，然后给出了经典环、面环和高维流形环的第一个Alexander ZaZc-模的分次结构。57M25；57Q35、57Q45
We characterize the first Alexander ZaZc‐modules of ribbon surface-links in the 4‐sphere fixing the number of components and the total genus, and then the first Alexander ZaZc‐modules of surface-links in the 4‐sphere fixing the number of components. Using the result of ribbon torus-links, we also characterize the first Alexander ZaZc‐modules of virtual links fixing the number of components. For a general surface-link, an estimate of the total genus is given in terms of the first Alexander ZaZc‐module. We show a graded structure on the first Alexander ZaZc‐ modules of all surface-links and then a graded structure on the first Alexander ZaZc‐ modules of classical links, surface-links and higher-dimensional manifold-links. 57M25; 57Q35, 57Q45