The Moduli of Flat U(p, 1) Structures on Riemann Surfaces

研究成果: Article同行評審

7 引文 斯高帕斯(Scopus)

摘要

For X a smooth projective curve over C of genus g > 1, Hom +1(X), U(p, 1))/ U(p, 1) is the moduli space of flat semi-simple U(p, 1)-connections on X. There is an integer invariant, τ, the Toledo invariant associated with each element in Hom+1(X), U(p, 1))/ U(p, 1). This paper shows that Hom +1(X), U(p, 1))/U(p, 1) has one connected component corresponding to each τ ε 2ℤ with -2(g - 1) ≤ τ ≤ 2(g - 1). Therefore the total number of connected components is 2(g - 1) + 1.

原文English
頁(從 - 到)33-43
頁數11
期刊Geometriae Dedicata
97
發行號1
DOIs
出版狀態Published - 2003 三月 1

All Science Journal Classification (ASJC) codes

  • 幾何和拓撲

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