2-Verma模与Khovanov-Rozansky链环同调
量子代数
2020-11-17 v4 几何拓扑
表示论
摘要
我们解释了Queffelec-Sartori的HOMFLY-PT链环多项式构造如何能用 的抛物Verma模来解释。将该构造提升到范畴化领域，我们使用抛物2-Verma模给出Khovanov-Rozansky三重分次链环同调的高阶表示论构造。
引用
@article{arxiv.1704.08485,
title = {2-Verma modules and the Khovanov-Rozansky link homologies},
author = {Grégoire Naisse and Pedro Vaz},
journal= {arXiv preprint arXiv:1704.08485},
year = {2020}
}
备注
v1, 32 pages, colored figures. v2, 42 pages, Proof of the main result expanded into a new subsection, minor corrections. v3, 24 pages. A gap in the proof of Theorem 4.9 (Dunfield-Gukov-Rasmussen conjecture) was found. As a consequence, it was removed and section 4.6 was substantially reduced. v4, 25 pages, peer reviewed version