Classification of links with Khovanov homology of minimal rank
Classification of links with Khovanov homology of minimal rank
复制标题
具有最小等级的 Khovanov 同源性的链接的分类
DOI：
10.4171/jems/1380
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发表时间：
2019
影响因子：
2.6
通讯作者：
Boyu Zhang
中科院分区：
文献类型：
--
作者：
Yi Xie;Boyu Zhang
如果L是具有$n$个分量的有向链，则其Khovanov同调的秩至少为$2^n$。我们分类的所有链接的Khovanov同调与Z/2-系数达到这个下限，并表明，这样的链接可以通过迭代连接和不相交工会的Hopf链接和unknots。这对巴特森和Seed提出的一个问题给出了肯定的回答。
If L is an oriented link with $n$ components, then the rank of its Khovanov homology is at least $2^n$. We classify all the links whose Khovanov homology with Z/2-coefficients achieves this lower bound, and show that such links can be obtained by iterated connected sums and disjoint unions of Hopf links and unknots. This gives a positive answer to a question asked by Batson and Seed.
Khovanov 模块和取消链接的检测
影响因子：
2
作者：
Hedden, Matthew;Ni, Yi
通讯作者：
Ni, Yi