摘要
The pure braid group of a quadruply-punctured Riemann sphere acts on the SL(2, )-moduli ℳ of the representation variety of such sphere. The points in ℳ are classified into-orbits. We show that, in this case, the monodromy groups of many explicit solutions to the Riemann-Hilbert problem are subgroups of SU(2). Most of these solutions are examples of representations that have dense images in SU(2), but with finite-orbits in ℳ. These examples relate to explicit immersions of constant mean curvature surfaces.
原文 | English |
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頁(從 - 到) | 827-832 |
頁數 | 6 |
期刊 | Forum Mathematicum |
卷 | 21 |
發行號 | 5 |
DOIs | |
出版狀態 | Published - 2009 9月 |
All Science Journal Classification (ASJC) codes
- 一般數學
- 應用數學