Explicit connections with SU(2)-monodromy

研究成果: Article同行評審

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
頁(從 - 到)827-832
頁數6
期刊Forum Mathematicum
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

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