The Khovanov homology of infinite braids

被引：4

作者：

Islambouli, Gabriel ^{[1
]}

Willis, Michael ^{[1
]}

机构：

[1] Univ Virginia, Dept Math, 141 Cabell Dr,Kerchof Hall,POB 400137, Charlottesville, VA 22904 USA

来源：

QUANTUM TOPOLOGY | 2018年 / 9卷 / 03期

关键词：

Khovanov homology; Khovanov homotopy type; colored Khovanov homology; Jones-Wenzl projectors; infinite braids; CATEGORIFICATION;

D O I：

10.4171/QT/114

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the limiting Khovanov chain complex of any infinite positive braid categorifies the Jones-Wenzl projector. This result extends Lev Rozansky's categorification of the Jones-Wenzl projectors using the limiting complex of infinite torus braids. We also show a similar result for the limiting Lipshitz-Sarkar-Khovanov stable homotopy types of the closures of such braids. Extensions to more general infinite braids are also considered.

引用

页码：563 / 590

页数：28

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