A link-splitting spectral sequence in Khovanov homology

A link-splitting spectral sequence in Khovanov homology
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霍瓦诺夫同源性中的链接分裂谱序列

DOI:
10.1215/00127094-2881374
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发表时间:
2013
影响因子:
2.5
通讯作者:
C. Seed
C. Seed
中科院分区:
数学1区
文献类型:
--
作者:
Joshua D. Batson;C. Seed

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我们构建了一个新的频谱序列开始在Khovanov同源的链接和收敛到Khovanov同源的不相交的工会其组件。序列折叠所在的页面给出了链接拆分数的下限,即其组件必须相互通过以完全分离它们的最小次数。此外,我们建立在Kronheimer-Mrowka和Hedden-Ni的工作基础上,表明Khovanov同源性检测到未连接。
We construct a new spectral sequence beginning at the Khovanov homology of a link and converging to the Khovanov homology of the disjoint union of its components. The page at which the sequence collapses gives a lower bound on the splitting number of the link, the minimum number of times its components must be passed through one another in order to completely separate them. In addition, we build on work of Kronheimer-Mrowka and Hedden-Ni to show that Khovanov homology detects the unlink.
Khovanov 模块和取消链接的检测
DOI: 10.2140/gt.2013.17.3027
发表时间: 2013
影响因子: 2
作者:
Hedden, Matthew;Ni, Yi
通讯作者: Ni, Yi