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

[31] Rank 2 quasiparabolic vector bundles on P1 and the variety of linear subspaces contained in two odd-dimensional quadrics [J].

Casagrande, C. .

MATHEMATISCHE ZEITSCHRIFT, 2015, 280 (3-4) :981-988

[32] Constraints on the onset of color transparency from quasielastic 12C(e, e'p) up to Q2=14.2 (GeV/c)2 [J].

Bhetuwal, D. ;

Matter, J. ;

Szumila-Vance, H. ;

Gayoso, C. Ayerbe ;

Kabir, M. L. ;

Dutta, D. ;

Ent, R. ;

Abrams, D. ;

Ahmed, Z. ;

Aljawrneh, B. ;

Alsalmi, S. ;

Ambrose, R. ;

Androic, D. ;

Armstrong, W. ;

Asaturyan, A. ;

Assumin-Gyimah, K. ;

Bandari, A. ;

Basnet, S. ;

Berdnikov, V. ;

Bhatt, H. ;

Biswas, D. ;

Boeglin, W. U. ;

Bosted, P. ;

Brash, E. ;

Bukhari, M. H. S. ;

Chen, H. ;

Chen, J. P. ;

Chen, M. ;

Christy, E. M. ;

Covrig, S. ;

Craycraft, K. ;

Danagoulian, S. ;

Day, D. ;

Diefenthaler, M. ;

Dlamini, M. ;

Dunne, J. ;

Duran, B. ;

Evans, R. ;

Fenker, H. ;

Fomin, N. ;

Fuchey, E. ;

Gaskell, D. ;

Gautam, T. N. ;

Gonzalez, F. A. ;

Hansen, J. O. ;

Hauenstein, F. ;

Hernandez, A. ;

Horn, T. ;

Huber, G. M. ;

Jones, M. K. .

PHYSICAL REVIEW C, 2023, 108 (02)

[33] Some Aspects of Lw1r (G) ∧ L(p, q, w2dμ) (G) [J].

Eryilmaz, Ilker ;

Duyar, Cenap .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2009, 30 (03) :311-320

← 1 2 3 4 →