The moduli of flat PU(p, p)-structures with large Toledo invariants

E. Markman, Eugene Zhu Xia

研究成果: Article同行評審

12 引文 斯高帕斯(Scopus)

摘要

For a compact Riemann surface X of genus g > 1, Hom(π1 (X), PU(p, q))/PU(p, q) is the moduli space of flat PU(p, q)-connections on X. There are two invariants, the Chern class c and the Toledo invariant τ associated with each element in the moduli. The Toledo invariant is bounded in the range -2min(p, q)(g-1) ≤ τ ≤ 2min(p, q)(g - 1). This paper shows that the component, associated with a fixed τ > 2(max(p, q) - 1)(g - 1) (resp. τ < -2(max(p, q) - 1)(g - 1)) and a fixed Chern class c, is connected (The restriction on τ implies p = q).

原文English
頁(從 - 到)95-109
頁數15
期刊Mathematische Zeitschrift
240
發行號1
DOIs
出版狀態Published - 2002 5月 1

All Science Journal Classification (ASJC) codes

  • 一般數學

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