论文标题
Quinn的配方和ABELIAN 3型旋转二次形式
Quinn's formula and abelian 3-cocycles for quadratic forms
论文作者
论文摘要
从理论上讲，在尖锐的编织融合类别中，知道该简称的自对称性编织足以重建关联和编织在整个类别上（直至通过编织的单型自动等量扭曲）。我们解决了仅在此输入下提供明确的关联公式的问题。在有限的许多样子的情况下，奎因解决了这个问题。我们以各种方式谴责和概括这一点。特别是，我们表明，仍然可以安排Quinn的关联人的额外对称性，以保持在一个无限多种类似的类似物的情况下。
In pointed braided fusion categories knowing the self-symmetry braiding of simples is theoretically enough to reconstruct the associator and braiding on the entire category (up to twisting by a braided monoidal auto-equivalence). We address the problem to provide explicit associator formulas given only such input. This problem was solved by Quinn in the case of finitely many simples. We reprove and generalize this in various ways. In particular, we show that extra symmetries of Quinn's associator can still be arranged to hold in situations where one has infinitely many isoclasses of simples.
