Annular Khovanov homology and knotted Schur-Weyl representations

被引：28

作者：

Grigsby, J. Elisenda ^{[1
]}

Licata, Anthony M. ^{[2
]}

Wehrli, Stephan M. ^{[3
]}

机构：

[1] Boston Coll, Dept Math, 5th Floor Maloney, Chestnut Hill, MA 02467 USA

[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT, Australia

[3] Syracuse Univ, Dept Math, 215 Carnegie, Syracuse, NY 13244 USA

来源：

COMPOSITIO MATHEMATICA | 2018年 / 154卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

SUTURED FLOER HOMOLOGY; QUANTUM SL(2); ALGEBRAS; CATEGORIFICATION; COBORDISMS; INVARIANT; CATEGORIES; TANGLES; COVERS;

D O I：

10.1112/S0010437X17007540

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L A I be a link in a thickened annulus. We show that its sutured annular Khovanov homology carries an action of s l 2 ( <^>), the exterior current algebra of s l 2. When L is an m - framed n - cable of a knot K S 3, its sutured annular Khovanov homology carries a commuting action of the symmetric group S n. One therefore obtains a ` knotted' Schur{Weyl representation that agrees with classical s l 2 Schur{Weyl duality when K is the Seifert- framed unknot.

引用

页码：459 / 502

页数：45

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