标题： 戴维多夫-耶特上同调的格伦斯坦伯格型结构 显示英文标题

标题： Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients

摘要： 我们获得了在单子函子的半辫结构上的Davydov-Yetter上同调的Gerstenhaber型结构。 我们的方法利用了单子函子的半辫结构与余代数和代数之间的纠缠之间的形式类比。 我们证明了带有系数的Davydov-Yetter复形具有弱comp代数的结构。 特别是，它配备了两个不同的杯乘积结构$\cup$和$\sqcup$，它们以一种替代分次交换性的方式相互关联。 我们还引入了带有系数的Davydov-Yetter复形的一个子复形，其上同调在通常意义上形成一个Gerstenhaber代数。 显示英文摘要

摘要： We obtain Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients in half-braidings for a monoidal functor. Our approach uses a formal analogy between half-braidings of a monoidal functor and the entwining of a coalgebra with an algebra. We show that the Davydov-Yetter complex with coefficients carries the structure of a weak comp algebra. In particular, it is equipped with two distinct cup product structures $\cup$ and $\sqcup$ which are related in a manner that replaces graded commutativity. We also introduce a subcomplex of the Davydov-Yetter complex with coefficients whose cohomology forms a Gerstenhaber algebra in the usual sense.