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

[1]

Asaeda M. M., 2004, Algebr. Geom. Topol, V4, P1177, DOI [10.2140/agt.2004.4.1177, DOI 10.2140/AGT.2004.4.1177]

[2]

AUROUX D., 2010, J. Gokova Geom. Topol. GGT, V4, P1

[3]

Auroux D., SUTURED KHOVAN UNPUB

[4]

Auroux D, 2010, PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, P917

[5] On the Spectral Sequence from Khovanov Homology to Heegaard Floer Homology [J].

Baldwin, John A. .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011, 2011 (15) :3426-3470

[6] Khovanov homology, open books, and tight contact structures [J].

Baldwin, John A. ;

Plamenevskaya, Olga .

ADVANCES IN MATHEMATICS, 2010, 224 (06) :2544-2582

[7] Heegaard Floer homology and genus one, one-boundary component open books [J].

Baldwin, John A. .

JOURNAL OF TOPOLOGY, 2008, 1 (04) :963-992

[8]

Berglund A., 2010, INFINITY ALGEBRAS HO

[9]

Bernstein J., 1994, Lecture Notes in Mathematics, V1578

[10]

Brundan J, 2011, MOSC MATH J, V11, P685

← 1 2 3 4 5 6 →