论文标题

在Khovanov综合体上

On Khovanov complexes

论文作者

Ito, Noboru

论文摘要

在本文中,我们讨论了参数化的Khovanov链接同源性的同位素不变性的证明,包括琼斯多项式的分类和Kauffman支架多项式,尽管这是一个已知的事实。为了呈现易于遵循的证明,我们对复合物之间的缩回和链条同位素进行明确描述,以诱导链接的同位素下的不变性。这是Arxiv的精制版本:0907.2104。

In this paper, we discuss a proof of the isotopy invariance of a parametrized Khovanov link homology including categorifications of the Jones polynomial and the Kauffman bracket polynomial though it is a known fact. In order to present a proof easy-to-follow, we give an explicit description of retractions and chain homotopies between complexes to induce the invariance under isotopy of links. This is a refined version of arXiv: 0907.2104.

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