CONNECTEDNESS OF THE MODULI OF Sp(2p, 2q)-HIGGS BUNDLES

被引：4

作者：

Garcia-Prada, Oscar ^{[1
]}

Oliveira, Andre G. ^{[2
]}

机构：

[1] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid 28049, Spain

[2] Univ Tras Os Montes & Alto Douro, Dept Matemat, P-5000911 Vila Real, Portugal

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2014年 / 65卷 / 03期

关键词：

SURFACE GROUP-REPRESENTATIONS; SELF-DUALITY EQUATIONS; PRINCIPAL BUNDLES; ALGEBRAIC-CURVES; RIEMANN SURFACE; HIGGS BUNDLES; SPACES; PAIRS;

D O I：

10.1093/qmath/hat045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Morse-theoretic techniques introduced by Hitchin, we prove that the moduli space of Sp(2p, 2q)-Higgs bundles over a compact Riemann surface of genus g >= 2 is connected. In particular, this implies that the moduli space of representations of the fundamental group of the surface in Sp(2p, 2q) is connected.

引用

页码：931 / 956

页数：26

共 33 条

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