论文标题
通过交叉模块和3维HQFT等级的单体类别
Monoidal categories graded by crossed modules and 3-dimensional HQFTs
论文作者
论文摘要
给定交叉模块$χ$，我们引入了$χ$ $ $ $ $ - $ - 融合类别的类别。我们使用球形$χ$ -Fusion类别来构建（通过状态总和方法）3维同型量子场理论，其分类空间$bχ$的交叉模块$χ$（这是同型2型）。
Given a crossed module $χ$, we introduce $χ$-graded monoidal categories and $χ$-fusion categories. We use spherical $χ$-fusion categories to construct (via the state sum method) 3-dimensional Homotopy Quantum Field Theories with target the classifying space $Bχ$ of the crossed module $χ$ (which is a homotopy 2-type).
