On Stable Khovanov Homology of Torus Knots

被引：26

作者：

Gorsky, Eugene ^{[1
]}

Oblomkov, Alexei ^{[2
]}

Rasmussen, Jacob ^{[3
]}

机构：

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[2] Univ Massachusetts, Dept Math, Amherst, MA 01003 USA

[3] Univ Cambridge, Ctr Math Sci, Dept Pure Math, Cambridge CB3 0WB, England

来源：

EXPERIMENTAL MATHEMATICS | 2013年 / 22卷 / 03期

关键词：

Khovanov homology; torus knots; Koszul complex; Rogers-Ramanujan identity; REPRESENTATIONS; ALGEBRA;

D O I：

10.1080/10586458.2013.798553

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We conjecture that the stable Khovanov homology of torus knots can be described as the Koszul homology of an explicit irregular sequence of quadratic polynomials. The corresponding Poincare series turns out to be related to the Rogers-Ramanujan identity.

引用

页码：265 / 281

页数：17

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