On the computation of torus link homology

被引：20
|
作者：
Elias, Ben [1 ]
Hogancamp, Matthew [2 ,3 ]
机构：
[1] Univ Oregon, Dept Math, Fenton Hall, Eugene, OR 97403 USA
[2] Indiana Univ, Dept Math, 831 East 3rd St, Bloomington, IN 47405 USA
[3] Univ Southern Calif, Dept Math, 3620 S Vermont Ave,KAP 104, Los Angeles, CA 90089 USA
来源：
COMPOSITIO MATHEMATICA | 2019年 / 155卷 / 01期
关键词：
Khovanov-Rozansky homology; Soergel bimodules; torus links;
D O I：
10.1112/S0010437X18007571
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a new method for computing triply graded link homology, which is particularly well adapted to torus links. Our main application is to the(n, n)-torus links, for which we give an exact answer for all n. In several cases, our computations verify conjectures of Gorsky et al. relating homology of torus links with Hilbert schemes.
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页码：164 / 205
页数：42
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