论文标题
分解同源性和4D TQFT
Factorization Homology and 4D TQFT
论文作者
论文摘要
在[bk]中，可以证明为球形融合类别定义的turaev-viro不变性$ \ mathcal {a} $扩展到带有角落的3个manifolds的不变性。在[KIR]中，使用“具有边界条件的Stringnets”的空间描述了理论2-1部分的等效公式（2个具有边界的模型），作为与与边界的2个manifolds相关的向量空间。在这里，我们为[CY1993]中4-3-2理论的3-2部分构建了类似的理论。
In [BK], it is shown that the Turaev-Viro invariants defined for a spherical fusion category $\mathcal{A}$ extends to invariants of 3-manifolds with corners. In [Kir], an equivalent formulation for the 2-1 part of the theory (2-manifolds with boundary) is described using the space of "stringnets with boundary conditions" as the vector spaces associated to 2-manifolds with boundary. Here we construct a similar theory for the 3-2 part of the 4-3-2 theory in [CY1993].
