论文标题
分类：纠缠不变和TQFTS
Categorification: tangle invariants and TQFTs
论文作者
论文摘要
基于对琼斯多项式的不同观点，我们回顾表示形式的理论分类链接和纠缠不变。我们将它们统一在一个共同的组合框架中，并通过soergel双模型理论将它们连接起来。讨论了这些分类对2个占2-陈述理论发展的影响以及拓扑不变性和2类分类结构之间的相互作用。最后，我们指出了一方面量子组的分类，另一方面是soergel双模型的2类，可能会导致新有趣的4维TQFT。
Based on different views on the Jones polynomial we review representation theoretic categorified link and tangle invariants. We unify them in a common combinatorial framework and connect them via the theory of Soergel bimodules. The influence of these categorifications on the development of 2-representation theory and the interaction between topological invariants and 2-categorical structures is discussed. Finally, we indicate how categorified representations of quantum groups on the one hand and monoidal 2-categories of Soergel bimodules on the other hand might lead to new interesting 4-dimensional TQFTs.
