论文标题

弱依次几乎积极的联系的不变性

Invariants of weakly successively almost positive links

论文作者

Ito, Tetsuya, Stoimenow, Alexander

论文摘要

作为积极和几乎积极的图和链接的扩展,我们研究了两类的链接,我们称之为几乎积极的,较弱的几乎依次的几乎是积极的联系。我们证明了多项式不变式和此类链接的签名的各种特性,扩展了先前的结果或回答有关正面或几乎积极联系的开放问题。我们讨论了它们的最低属和纤维属性,而对于后者,我们证明了Scharlemann-Thompson定理的纤维扩展(对一般链接有效)。

As an extension of positive and almost positive diagrams and links, we study two classes of links we call successively almost positive and weakly successively almost positive links. We prove various properties of polynomial invariants and signatures of such links, extending previous results or answering open questions about positive or almost positive links. We discuss their minimal genus and fibering property and for the latter prove a fibering extension of Scharlemann-Thompson's theorem (valid for general links).

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