کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5778625 1633773 2017 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Holonomy limits of complex projective structures
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Holonomy limits of complex projective structures
چکیده انگلیسی
We study the limits of holonomy representations of complex projective structures on a compact Riemann surface in the Morgan-Shalen compactification of the character variety. We show that the dual R-trees of the quadratic differentials associated to a divergent sequence of projective structures determine the Morgan-Shalen limit points up to a natural folding operation. For quadratic differentials with simple zeros, no folding is possible and the limit of holonomy representations is isometric to the dual tree. We also derive an estimate for the growth rate of the holonomy map in terms of a norm on the space of quadratic differentials.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 315, 31 July 2017, Pages 427-473
نویسندگان
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