Sutured Khovanov homology distinguishes braids from other tangles

被引：13

作者：

Grigsby, J. Elisenda ^{[1
]}

Ni, Yi ^{[2
]}

机构：

[1] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

[2] CALTECH, Dept Math, Pasadena, CA 91125 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2014年 / 21卷 / 06期

基金：

美国国家科学基金会;

关键词：

KNOT FLOER HOMOLOGY; MANIFOLDS; 3-MANIFOLDS;

D O I：

10.4310/MRL.2014.v21.n6.a4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the sutured Khovanov homology of a balanced tangle in the product sutured manifold D x I has rank 1 if and only if the tangle is isotopic to a braid.

引用

页码：1263 / 1275

页数：13

共 19 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]

Baldwin J., 2012, P AM MATH S IN PRESS

[3]

Batson J., LINK SPLITTING SPECT

[4]

GABAI D, 1983, J DIFFER GEOM, V18, P445

[5]

Grigsby JE, 2011, CONTEMP MATH, V560, P111

[6] Khovanov homology, sutured Floer homology and annular links [J].

Grigsby, J. Elisenda ;

Wehrli, Stephan M. .

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2010, 10 (04) :2009-2039

[7] On the colored Jones polynomial, sutured Floer homology, and knot Floer homology [J].

Grigsby, J. Elisenda ;

Wehrli, Stephan M. .

ADVANCES IN MATHEMATICS, 2010, 223 (06) :2114-2165

[8] Manifolds with small Heegaard Floer ranks [J].

Hedden, Matthew ;

Ni, Yi .

GEOMETRY & TOPOLOGY, 2010, 14 (03) :1479-1501

[9] Floer homology and surface decompositions [J].

Juhasz, Andras .

GEOMETRY & TOPOLOGY, 2008, 12 :299-350

[10] Holomorphic discs and sutured manifolds [J].

Juhasz, Andras .

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2006, 6 :1429-1457

← 1 2 →