Branched structures on Riemann surfaces
نویسندگان
چکیده
منابع مشابه
The Moduli of Flat Pu(2,1) Structures on Riemann Surfaces
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 integer invariants, dP , dQ, associated with each σ ∈ Hom(π1(X),PU(p, q))/ PU(p, q). These invariants are related to the Toledo invariant τ by τ = 2P −pdQ p+q . This paper shows, via the theory of Higgs bundles, that if q = 1, then −2(g − 1) ≤ τ ≤ 2(g...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1972
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1972-0288253-1