论文标题
Gerstenhaber-Schack综合大楼上的经营结构
Operadic structure on the Gerstenhaber-Schack complex for prestacks
论文作者
论文摘要
我们介绍了一个由Dinh van and Lowen定义的Prestack的Gerstenhaber-Schack综合体上的作业，尤其使我们能够以基本的$ L _ {\ infty} $结构赋予该复合物。我们利用霍金斯使用的operad $ \ operatorname {quilt} $为了解决Presheaf案例。由于扭曲的存在带来了额外的困难，因此我们必须以根本不同的方式使用$ \ operatotorname {quilt} $（甚至对于预示）才能允许扩展到prestacks。由此产生的$ l _ {\ infty} $ - 代数控制着Prestack的变形理论。
We introduce an operad which acts on the Gerstenhaber-Schack complex of a prestack as defined by Dinh Van and Lowen, and which in particular allows us to endow this complex with an underlying $L_{\infty}$-structure. We make use of the operad $\operatorname{Quilt}$ which was used by Hawkins in order to solve the presheaf case. Due to the additional difficulty posed by the presence of twists, we have to use $\operatorname{Quilt}$ in a fundamentally different way (even for presheaves) in order to allow for an extension to prestacks. The resulting $L_{\infty}$-algebra governs the deformation theory of the prestack.
