标题： 关于Khovanov同调的函子性 显示英文标题

标题： On the functoriality of Khovanov homology

摘要： 我们提供Blanchet的Khovanov同调的定向模型的概述，该模型解决了函子性中的符号歧义问题。 我们给出了该构造的详细且自包含的阐述。 我们建立了该定向模型的严格函子性，并简要概述了其最近由Scott Carter、Benjamin Cooper、Mikhail Khovanov和Vyacheslav Krushkal研究的具有奇点的cobordisms的扩展。 显示英文摘要

摘要： We provide an overview of Blanchet's oriented model of Khovanov homology, which resolves the sign ambiguity in functoriality. We give a detailed and self-contained exposition of the construction. We establish strict functoriality for the oriented model and briefly outline its extension to cobordisms with singularities recently studied by Scott Carter, Benjamin Cooper, Mikhail Khovanov and Vyacheslav Krushkal.