广义经典动力学杨-巴克斯特方程与曲面上平坦联络的模空间
Generalized classical dynamical Yang-Baxter equations and moduli spaces of flat connections on surfaces
摘要：
在本文中，我们解释了如何广义动态r-矩阵可以得到（拟）泊松约化。泊松结构和泊松广群作用的新例子自然会出现在这种情况下。作为应用，我们利用由规范固定过程导出的广义动力学r-矩阵给出了曲面上平坦联络的模空间上Atiyah-Bott辛结构的一个新的有限维描述.
英文摘要：
In this paper, we explain how generalized dynamical r-matrices can be obtained by (quasi-)Poisson reduction. New examples of Poisson structures and Poisson groupoid actions naturally appear in this setting. As an application, we use a generalized dynamical r-matrix induced by the gauge fixing procedure to give a new finite dimensional description of the Atiyah-Bott symplectic structure on the moduli space of flat connections on a surface.
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。
