Moduli spaces of real projective structures on surfaces
Moduli spaces of real projective structures on surfaces
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表面上实射影结构的模空间
DOI：
10.2969/msjmemoirs/038010000
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Stephan Tillmann
中科院分区：
文献类型：
--
作者：
Alex Casella;Dominic Tate;Stephan Tillmann
这些笔记生长出我们的学习和应用方法的福克和贡恰洛夫关于模空间的真实的投影结构的表面与理想的三角剖分。我们给出了一个自包含的治疗Fock和Goncharov的描述的模空间的框架标记正常凸射影结构的最小或最大的结束，并推导结果的侯爵和高盛的后果。讨论了模空间上的Poisson结构及其与特征标簇上的Goldman Poisson结构的关系。
These notes grew out of our learning and applying the methods of Fock and Goncharov concerning moduli spaces of real projective structures on surfaces with ideal triangulations. We give a self-contained treatment of Fock and Goncharov's description of the moduli space of framed marked properly convex projective structures with minimal or maximal ends, and deduce results of Marquis and Goldman as consequences. We also discuss the Poisson structure on moduli space and its relationship to Goldman's Poisson structure on the character variety.