论文标题

在Rel中的Frobenius对象的示例和分类

On Examples and Classification of Frobenius Objects in Rel

论文作者

Contreras, Ivan, Long, Adele, Marx, Sophia, Mehta, Rajan Amit

论文摘要

我们在集合和关系类别$ \ textbf {rel} $的类别中提供了一些Frobenius对象的新示例。一个例子是一个带有扭曲率的群体。另一个示例是组的共轭类。我们还用两个或三个元素将Frobenius对象分类为$ \ textbf {rel} $,我们使用相应的TQFTS的分区函数计算关联的表面不变性。

We give some new examples of Frobenius objects in the category of sets and relations $\textbf{Rel}$. One example is a groupoid with a twisted counit. Another example is the set of conjugacy classes of a group. We also classify Frobenius objects in $\textbf{Rel}$ with two or three elements, and we compute the associated surface invariants using the partition functions of the corresponding TQFTs.

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