高阶量子群的Hennings不变量与Chern-Simons不变量的关系
Relationship of the Hennings and Chern-Simons Invariants For Higher Rank Quantum Groups
摘要：
对于任意单李代数在单位根单位根上的小量子群的Hennings不变量，证明了与Chern-Simons场论中的Jones- Witten-Reshetikhin-Turaev不变量一致，在单位根上，对于同一个李代数和同一个单位根，在所有的整数同调三球面上，这两个不变量都被定义.这部分地推广了Chen，et al.（[CYZ 12，CKS 09]）的工作，该工作涉及任意有理同调三球面的SL（2）和SO（3）的Hennings和Chern-Simons不变量。
英文摘要：
The Hennings invariant for the small quantum group associated to an arbitrary simple Lie algebra at a root of unity is shown to agree with Jones- Witten-Reshetikhin-Turaev invariant arising from Chern-Simons filed theory for the same Lie algebra and the same root of unity on all integer homol- ogy three-spheres, at roots of unity where both are defined. This partially generalizes the work of Chen, et al. ([CYZ12, CKS09]) which relates the Hennings and Chern-Simons invariants for SL(2) and SO(3) for arbitrary rational homology three-spheres.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
