论文标题
关于量子Hochschild同源性的评论
A remark on quantum Hochschild homology
论文作者
论文摘要
Beliakova-putyra-wehrli与Annular Khovanov同源性研究了各种痕迹。特别是，在其上方的分级代数和分级的双模块上，他们将代数的量子hochschild同源性与双模块中的系数相关联，并使用它来获得链接的环形khovanov同源性的变形。 Akhmechet-Krushkal-Willis最近给出了由此产生的不变的光谱细化。 在此简短的说明中，我们观察到量子Hochschild同源性是两个熟悉操作的组成，并简短证明了它在某种程度上给出了环形链接的不变性。这在贝利亚科娃·普特拉·沃利（Beliakova-Putyra-Wehrli）的作品中隐含了很多。
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.
