It is explicitly shown that the Poisson bracket on the set of shear coordinates defined by V. V. Fock in 1997 induces the Fenchel–Nielsen bracket on the set of gluing parameters (length and twist parameters) for pair-of-pants decompositions of Riemann surfaces with holes. These structures are generalized to the case of Riemann surfaces with holes and bordered cusps.

Bibliography: 49 titles.

中文翻译：

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Fenchel-Nielsen 坐标和 Goldman 括号

明确表明，VV Fock 于 1997 年定义的剪切坐标集上的泊松括号在胶合参数集（长度和扭曲参数）上引入了 Fenchel-Nielsen 括号，用于带孔的黎曼曲面的裤子分解. 这些结构被推广到具有孔和带边界尖点的黎曼曲面的情况。

参考书目：49 个。