论文标题

对称融合类别和集成的代数

Algebras over a symmetric fusion category and integrations

论文作者

Wei, Xiao-Xue

论文摘要

我们研究了对称融合类别的有限半神经模块类别的对称单体2类。特别是,我们在此2类中研究$ e_n $ -algebras,并以$ n = 0,1,2 $计算其$ e_n $中心。我们还计算了分层表面的分解同源性,其系数由$ e_n $ - 代数在此2类中给出,$ n = 0,1,2 $满足某些无异常的条件。

We study the symmetric monoidal 2-category of finite semisimple module categories over a symmetric fusion category. In particular, we study $E_n$-algebras in this 2-category and compute their $E_n$-centers for $n=0,1,2$. We also compute the factorization homology of stratified surfaces with coefficients given by $E_n$-algebras in this 2-category for $n=0,1,2$ satisfying certain anomaly-free conditions.

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