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

页码：1 / 55

页数：55

共 54 条

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