Karoubi包络与Khovanov同调的Lee退化
The Karoubi envelope and Lee's degeneration of Khovanov homology
摘要：
我们给出了Lee在[Adv. Math. 179（2005）554-586; arXiv：math.GT/0210213]中的结果的一个简单证明，即c-分量链的Khovanov同调的Lee变体的维数是2^c，与交叉的数目无关。我们的证明方法是完全本地的，因此，我们可以说明一个李型定理缠结以及结和链接。我们的主要工具是“Karoubi包络的cobordism类别”，一定程度上扩大的cobordism类别是温和的，没有信息丢失，但足够强大，以允许一些简化，否则是不可用的。
英文摘要：
We give a simple proof of Lee's result from [Adv. Math. 179 (2005) 554-586; arXiv:math.GT/0210213], that the dimension of the Lee variant of the Khovanov homology of a c-component link is 2^c, regardless of the number of crossings. Our method of proof is entirely local and hence we can state a Lee-type theorem for tangles as well as for knots and links. Our main tool is the "Karoubi envelope of the cobordism category", a certain enlargement of the cobordism category which is mild enough so that no information is lost yet strong enough to allow for some simplifications that are otherwise unavailable.
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