关于量子霍赫希尔德同调的一点注记
A remark on quantum Hochschild homology
摘要：
Beliakova-Putyra-Wehrli研究了各种痕迹，在有关环形Khovanov同源性。特别地，对于一个分次代数和它上面的分次双模，他们将代数的量子霍赫希尔德同调与双模中的系数联系起来，并使用它来获得环的霍瓦诺夫同调的变形。最近由Akhmechet-Krushkal-Willis给出了由此产生的不变量的谱精化。在这个简短的说明中，我们观察到量子霍赫希尔德同调是两个熟悉的操作的组合，并给出了一个简短的证明，它给出了一个不变量的环链接，在一些一般性。这一点在Beliakova-Putyra-Wehrli的工作中很明显。
英文摘要：
Beliakova-Putyra-Wehrli studied various kinds of traces, in relation to annular Khovanov homology. In particular, to a graded algebra and a graded bimodule over it, they associate a quantum Hochschild homology of the algebra with coefficients in the bimodule, and use this to obtain a deformation of the annular Khovanov homology of a link. A spectral refinement of the resulting invariant was recently given by Akhmechet-Krushkal-Willis. In this short note we observe that quantum Hochschild homology is a composition of two familiar operations, and give a short proof that it gives an invariant of annular links, in some generality. Much of this is implicit in Beliakova-Putyra-Wehrli's work.
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