来自量子蛇的量子$\boldsymbol{\rm SL}_n$的点
Points of quantum $\mathrm{SL}_n$ coming from quantum snakes
AI总结：
该研究证明量子化Fock-Goncharov单值化矩阵满足量子特殊线性群$\boldsymbol{\rm SL}_n^q$的关系，通过量子蛇技术实现，为加厚曲面纽结的$\boldsymbol{\rm SL}_n$量子迹映射构造提供关键基础。
摘要：
我们证明量子化的Fock-Goncharov单值化矩阵满足量子特殊线性群$\boldsymbol{\rm SL}_n^q$的关系。证明采用Fock-Goncharov发明的称为蛇的技术的量子版本。这种高Teichmüller理论与量子群理论之间的关系，对于构造加厚曲面中纽结的$\boldsymbol{\rm SL}_n$量子迹映射至关重要，该映射在姊妹论文（arXiv:2101.06817）中已部分展开。
英文摘要：
We show that the quantized Fock-Goncharov monodromy matrices satisfy the relations of the quantum special linear group $\mathrm{SL}_n^q$. The proof employs a quantum version of the technology invented by Fock-Goncharov called snakes. This relationship between higher Teichmüller theory and quantum group theory is integral to the construction of a $\mathrm{SL}_n$-quantum trace map for knots in thickened surfaces, partially developed in a companion paper (arXiv:2101.06817).
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。
