论文标题
具有结构缺陷的TQFTS的BICATEGOIRE
Bicategories for TQFTs with Defects with Structure
论文作者
论文摘要
我们提供了足够的分类数据的描述，以提供具有缺陷系统的3个manifolds的Turaev-Viro型状态和状态构造，从而推广了我们早期工作的Dijkgraaf-witten类型不变性。我们称其为结构缺陷中的缺陷，因为与它们相关的代数数据通常比在没有缺陷的情况下构建理论的球形融合类别中的模块类别更丰富。
We provide a description of adequate categorical data to give a Turaev-Viro type state-sum construct of invariants of 3-manifolds with a system of defects, generalizing the Dijkgraaf-Witten type invariants of our earlier work. We term the defects in our construction defects-with-structure because algebraic data associated to them is in general richer than a module category over the spherical fusion category from which the theory is constructed when no defect is present.
