Exceptional discrete mapping class group orbits in moduli spaces

Joseph P. Previte, Eugene Z. Xia

研究成果: Article同行評審

5 引文 斯高帕斯(Scopus)

摘要

Let M be a four-holed sphere and γ the mapping class group of M fixing ∂M. The group γ acts on the space ℳ (SU(2)) of SU(2)-gauge equivalence classes of flat SU(2)-connections on M with fixed holonomy on ∂M. We give examples of flat SU(2)-connections whose holonomy groups are dense in SU(2), but whose γ-orbits are discrete in ℳ(SU(2)), This phenomenon does not occur for surfaces with genus greater than zero.

原文English
頁(從 - 到)949-954
頁數6
期刊Forum Mathematicum
15
發行號6
DOIs
出版狀態Published - 2003

All Science Journal Classification (ASJC) codes

  • 一般數學
  • 應用數學

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