论文标题
在与串珠开放式雅各比图相关的函子上
On the functors associated with beaded open Jacobi diagrams
论文作者
论文摘要
手柄中雅各比图的线性A类别A中的态度引起了有限生成的自由组的类别的有趣逆转函数，这些函数编码了类别A的组成结构的一部分。这些函子通过鲍威尔给出的类别对应，鲍威尔给出的类别，供应由串珠的开放式jacobi给出的函数。我们研究这些函子的多项式性以及它们是否为外部函子。这些结果的启发是受Katada获得的先前结果的启发。
Morphisms in the linear category A of Jacobi diagrams in handlebodies give rise to interesting contravariant functors on the category gr of finitely-generated free groups, encoding part of the composition structure of the category A. These functors correspond, via an equivalence of categories given by Powell, to functors given by beaded open Jacobi diagrams. We study the polynomiality of these functors and whether they are outer functors. These results are inspired by and generalize previous results obtained by Katada.
