抛物 G-丛上非阿贝尔theta函数的希钦联络
代数几何
2023-07-19 v2 高能物理 - 理论
微分几何
表示论
摘要
对于一个单的、单连通的复群 G，我们证明在带标记点的光滑射影曲线族上半稳定抛物 G-丛模空间上的非阿贝尔 theta 函数丛上存在平坦射影联络。
引用
@article{arxiv.2103.03792,
title = {A Hitchin connection on non abelian theta functions for parabolic G-bundles},
author = {Indranil Biswas and Swarnava Mukhopadhyay and Richard Wentworth},
journal= {arXiv preprint arXiv:2103.03792},
year = {2023}
}
备注
Final version: To appear in Crelle's Journal. Major Changes based on comments of anonymous referees: Section on Ginzburg algebra is split from this to form a separate paper, Theorem 6.3 from arXiv2110.00430v1 (also will be updated soon) is now moved to this paper with additional details