带状叶氏-德林菲尔德模块和缠结不变量

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2022-04-06 DOI:10.1142/s179352532350019x

K. Habiro, Yuka Kotorii

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引用次数: 0

摘要

我们在一元范畴中定义了枢纽对象和带状对象的概念。这些构造从不一定具有对偶的单一性范畴中给出枢纽或带状单一性范畴。我们将这种构造应用于Hopf代数上的Yetter—Drinfeld模的编织一元范畴。这就产生了Hopf代数上的带状Yetter- Drinfeld模块的概念，它形成了带状类别。这给出了缠结的不变量。

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Ribbon Yetter–Drinfeld modules and tangle invariants

We define notions of pivotal and ribbon objects in a monoidal category. These constructions give pivotal or ribbon monoidal categories from a monoidal category which is not necessarily with duals. We apply this construction to the braided monoidal category of Yetter--Drinfeld modules over a Hopf algebra. This gives rise to the notion of ribbon Yetter--Drinfeld modules over a Hopf algebra, which form ribbon categories. This gives an invariant of tangles.

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.