Equivariant colored sl(N)-homology for links
Equivariant colored sl(N)-homology for links
复制标题
链接的等变彩色 sl(N)-同源性
DOI：
10.1142/s0218216511009558
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Hao Wu
中科院分区：
文献类型：
--
作者：
Hao Wu
我们构造了环的等变着色sl（N）-同调，它推广了作者定义的着色sl（N）-同调和Krasner定义的等变sl（N）-同调.该构造是着色sl（N）-同调的直接推广。不变性的证明是基于一个简单的观察，这使我们能够将有色sl（N）-同调的不变性的证明转化为新的设置。
作为应用，我们证明了色sl（N）-同调在C上的变形是链不变量.我们还构造了一个连接C上的色sl（N）-同调和它的变形的谱序列，它推广了Lee和Gornik给出的谱序列.
We construct an equivariant colored sl(N)-homology for links, which generalizes both the colored sl(N)-homology defined by the author and the equivariant sl(N)-homology defined by Krasner. The construction is a straightforward generalization of that of the colored sl(N)-homology. The proof of invariance is based on a simple observation which allows us to translate the proof of the invariance of the colored sl(N)-homology into the new setting.
As an application, we prove that deformations over C of the colored sl(N)-homology are link invariants. We also construct a spectral sequence connecting the colored sl(N)-homology to its deformations over C, which generalizes the spectral sequence given by Lee and Gornik.