摘要翻译:
本文是根据2007年9月在RIMS-OCAMI可积系统相关几何联合国际会议上发表的一篇演讲而编写的。其目的是回顾Hitchin可积系统和Riemann曲面基本群的性质变化的最新进展。在我们从一个简单的案例发展到更详细的案例的过程中,还提供了对这些字符变化的几何方面的调查。
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英文标题:
《Geometry of Character Varieties of Surface Groups》
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作者:
Motohico Mulase
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
This article is based on a talk delivered at the RIMS--OCAMI Joint International Conference on Geometry Related to Integrable Systems in September, 2007. Its aim is to review a recent progress in the Hitchin integrable systems and character varieties of the fundamental groups of Riemann surfaces. A survey on geometric aspects of these character varieties is also provided as we develop the exposition from a simple case to more elaborate cases.
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PDF链接:
https://arxiv.org/pdf/0710.5263