CATEGORIFIED INVARIANTS AND THE BRAID GROUP

被引：18
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
收藏
页码：2801 / 2814
页数：14
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