欧几里得空间中多边形弯曲变形的量子化、超几何积分和Gassner表示
Quantization of bending deformations of polygons in Euclidean space, hypergeometric integrals and the Gassner representation
摘要：
通过对退化n边形上的弯曲场进行线性化，得到了n边形连杆机构的纯辫群的Malcev李代数表示.这种线性化在复直线上的n个不同点的空间上产生平坦连接。我们表明，monodromy（本质上）的Gassner表示。
英文摘要：
We quantize the bending deformations of n-gon linkages by linearizing the bending fields at a degenerate n-gon to get a representation of the Malcev Lie algebra of the pure braid group. This linearization yields a flat connection on the space of n distinct points on the complex line. We show that the monodromy is (essentially) the Gassner representation.
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。
