Khovanov-Seidel quiver algebras and bordered Floer homology

被引：7
作者：
Auroux, Denis [1 ]
Grigsby, J. Elisenda [2 ]
Wehrli, Stephan M. [3 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[2] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA
[3] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA
来源：
SELECTA MATHEMATICA-NEW SERIES | 2014年 / 20卷 / 01期
基金：
美国国家科学基金会;
关键词：
Braids; Heegaard Floer homology; Khovanov homology; CATEGORIES; BOUNDARY; MODULES;
D O I：
10.1007/s00029-012-0106-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered Heegaard-Floer homology bimodule associated to the double-branched cover of a braid and show that its associated graded bimodule is equivalent to a similar bimodule defined by Khovanov and Seidel.
引用
收藏
页码：1 / 55
页数：55
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