标题： 奇Khovanov弧代数的Hochschild (上)同调 显示英文标题

标题： Hochschild (co)homology for odd Khovanov arc algebras

摘要： 我们将Hochschild同调和上同调扩展到准结合代数，这些代数最初由Albuquerque和Majid定义，并通过分等级范畴由Naisse和Putyra进行推广。 作为应用，我们使用我们的构造来给出奇Khovanov同调的符号至上的函子性的另一种证明，这最近由Migdail和Wehrli证明。 我们的证明推广了Khovanov的一个论点：在此过程中，我们也给出了Naisse和Putyra的tangle理论在tangle cobordisms下的函子性的第一个证明，符号至上的单位。 显示英文摘要

摘要： We extend Hochschild homology and cohomology to quasi-associative algebras, which were defined initially by Albuquerque and Majid and generalized by Naisse and Putyra via grading categories. As an application, we use our construction to give an alternative proof of up-to-sign functoriality for odd Khovanov homology, which was recently proven by Migdail and Wehrli. Our proof generalizes an argument of Khovanov: in doing so, we also give the first proof that the tangle theory of Naisse and Putyra is functorial with respect to tangle cobordisms, up to unit.