SUTURED KHOVANOV HOMOLOGY, HOCHSCHILD HOMOLOGY, AND THE OZSVATH-SZABO SPECTRAL SEQUENCE

被引：11

作者：

Auroux, Denis ^{[1
]}

Grigsby, J. Elisenda ^{[2
]}

Wehrli, Stephan M. ^{[3
]}

机构：

[1] Univ Calif Berkeley, Dept Math, 970 Evans Hall 3840, 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：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 10期

关键词：

FLOER HOMOLOGY;

D O I：

10.1090/tran/6252

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2002, Khovanov-Seidel constructed a faithful action of the (m+ 1)-strand braid group, Bm+1, on the derived category of left modules over a quiver algebra, Am. We interpret the Hochschild homology of the Khovanov-Seidel braid invariant as a direct summand of the sutured Khovanov homology of the annular braid closure.

引用

页码：7103 / 7131

页数：29

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