通过A型Soergel双模的柄体连杆的HOMFLYPT同源性

IF 1 2区数学 Q1 MATHEMATICS

Quantum Topology Pub Date : 2019-08-19 DOI:10.4171/QT/152

David E. V. Rose, D. Tubbenhauer

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引用次数: 9

摘要

我们定义了g类柄体中连杆的三次分级不变量，推广了3球中连杆的彩色HOMFLYPT (co)同调性。我们的主要工具是根据经典辫群的子群描述这些链接，以及由(奇异)Soergel双模复合体构建的范畴动作族。

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HOMFLYPT homology for links in handlebodies via type A Soergel bimodules

We define a triply-graded invariant of links in a genus g handlebody, generalizing the colored HOMFLYPT (co)homology of links in the 3-ball. Our main tools are the description of these links in terms of a subgroup of the classical braid group, and a family of categorical actions built from complexes of (singular) Soergel bimodules.

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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.