Categorified Young symmetrizers and stable homology of torus links II

被引：8
|
作者：
Abel, Michael [1 ]
Hogancamp, Matthew [2 ]
机构：
[1] Duke Univ, Dept Math, Durham, NC 27708 USA
[2] Indiana Univ, Dept Math, Bloomington, IN 47401 USA
来源：
SELECTA MATHEMATICA-NEW SERIES | 2017年 / 23卷 / 03期
关键词：
Hochschild cohomology; Young symmetrizers; Categorfication; Torus knots;
D O I：
10.1007/s00029-017-0336-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct complexes P-1n of Soergel bimodules which categorify the Young idempotents corresponding to one-column partitions. A beautiful recent conjecture (Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology. arXiv: 1608.07308, 2016) ofGorsky-Negut-Rasmussen relates the Hochschild homology of categorified Young idempotents with the flag Hilbert scheme. We prove this conjecture for P-1n and its twisted variants. We also show that this homology is also a certain limit of Khovanov-Rozansky homologies of torus links. Along the way we obtain several combinatorial results which could be of independent interest.
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页码：1739 / 1801
页数：63
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