Flags and tangles

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2019-10-09 DOI:10.4171/QT/157

F. Haiden

引用次数: 1

Abstract

We show that two constructions yield equivalent braided monoidal categories. The first is topological, based on Legendrian tangles and skein relations, while the second is algebraic, in terms of chain complexes with complete flag and convolution-type products. The category contains Iwahori--Hecke algebras of type $A_n$ as endomorphism algebras of certain objects.

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旗帜和缠结

我们证明了两种构造产生等价的编织单类。第一种是拓扑的，基于Legendrian缠结和绞结关系;第二种是代数的，基于具有完全标志和卷积型积的链配合物。范畴包含$A_n$型的Iwahori—Hecke代数作为某些对象的自同态代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quantum Topology Mathematics-Geometry and Topology

CiteScore

1.80

自引率

9.10%

发文量

期刊介绍： Quantum Topology is a peer reviewed journal dedicated to publishing original research articles, short communications, and surveys in quantum topology and related areas of mathematics. Topics covered include in particular: Low-dimensional Topology Knot Theory Jones Polynomial and Khovanov Homology Topological Quantum Field Theory Quantum Groups and Hopf Algebras Mapping Class Groups and Teichmüller space Categorification Braid Groups and Braided Categories Fusion Categories Subfactors and Planar Algebras Contact and Symplectic Topology Topological Methods in Physics.