Handle Slides and Localizations of Categories

被引：5

作者：

Cooper, Benjamin ^{[1
]}

Krushkal, Vyacheslav ^{[1
]}

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 10期

基金：

美国国家科学基金会;

关键词：

3-MANIFOLDS; INVARIANTS; HOMOLOGY; CATEGORIFICATION;

D O I：

10.1093/imrn/rns108

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a means by which some categorifications can be evaluated at a root of unity. This is implemented using a suitable localization in the context of prior work by the authors on categorification of the Jones-Wenzl projectors. Within this localized category, we define objects that decategorify to the SU(2) quantum invariants at low levels. These objects are invariant under handle slides, a property important for defining invariants of 3-manifolds in the context of Kirby calculus.

引用

页码：2179 / 2202

页数：24

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