CATEGORIFIED INVARIANTS AND THE BRAID GROUP

被引：20

作者：

Baldwin, John A. ^{[1
]}

Grigsby, J. Elisenda ^{[1
]}

机构：

[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 07期

基金：

美国国家科学基金会;

关键词：

KNOT FLOER HOMOLOGY; TRANSVERSE KNOTS; BURAU REPRESENTATION; HOLOMORPHIC DISKS; KHOVANOV HOMOLOGY; LEGENDRIAN KNOTS; FAITHFUL; BOUNDARY;

D O I：

10.1090/S0002-9939-2015-12482-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate two "categorified" braid conjugacy class invariants, one coming from Khovanov homology and the other from Heegaard Floer homology. We prove that each yields a solution to the word problem but not the conjugacy problem in the braid group. In particular, our proof in the Khovanov case is completely combinatorial.

引用

页码：2801 / 2814

页数：14

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