Project Euclid

References

• S. B. Bradlow, O. García-Prada and P. B. Gothen, Surface group representations and $\U(p,q)$-Higgs bundles, J. Differential Geom. 64 (2003), 111–170.
  Mathematical Reviews (MathSciNet): MR2015045
  Zentralblatt MATH: 1070.53054
  Project Euclid: euclid.jdg/1090426889
  
• S. B. Bradlow, O. García-Prada and P. B. Gothen, Representations of surface groups in the general linear group, Proceedings of the XII Fall Workshop on Geometry and Physics, Coimbra, 2003, Publicaciones de la RSME, vol. 7, R. Soc. Mat. Esp., Madrid, 2004, pp. 83–94.
  Mathematical Reviews (MathSciNet): MR2123494
  Zentralblatt MATH: 1074.14010
  
• S. B. Bradlow, O. García-Prada and P. B. Gothen, Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces, Geom. Dedicata 122 (2006), 185–213.
  Mathematical Reviews (MathSciNet): MR2295550
  Digital Object Identifier: doi:10.1007/s10711-007-9127-y
  
• S. B. Bradlow, O. García-Prada and P. B. Gothen, Homotopy groups of moduli spaces of representations, Topology 47 (2008), 203–224.
  Mathematical Reviews (MathSciNet): MR2416769
  Digital Object Identifier: doi:10.1016/j.top.2007.06.001
  
• S. B. Bradlow, O. García-Prada and P. B. Gothen, Higgs bundles for the non-compact dual of the special orthogonal group, preprint; available at arXiv:\arxivurl1303.1058.
• S. B. Bradlow, O. García-Prada and I. Mundet i Riera, Relative Hitchin–Kobayashi correspondences for principal pairs, Q. J. Math. 54 (2003), 171–208.
  Mathematical Reviews (MathSciNet): MR1989871
  Digital Object Identifier: doi:10.1093/qjmath/54.2.171
  Zentralblatt MATH: 1064.53056
  
• K. Corlette, Flat $G$-bundles with canonical metrics, J. Differential Geom. 28 (1988), 361–382.
  Mathematical Reviews (MathSciNet): MR0965220
  Zentralblatt MATH: 0676.58007
  Project Euclid: euclid.jdg/1214442469
  
• S. K. Donaldson, Twisted harmonic maps and self-duality equations, Proc. Lond. Math. Soc. (3) 55 (1987), 127–131.
  Mathematical Reviews (MathSciNet): MR0887285
  Digital Object Identifier: doi:10.1112/plms/s3-55.1.127
  Zentralblatt MATH: 0634.53046
  
• O. García-Prada, Involutions of the moduli space of $\SL (n,\CC)$-Higgs bundles and real forms, Vector bundles and low codimensional subvarieties: State of the art and recent developments, Quaderni di Matematica (G. Casnati, F. Catanese and R. Notari, eds.), Dipartimento di Matematica Seconda Università di Napoli, Napoli, 2007, pp. 219–238.
  Mathematical Reviews (MathSciNet): MR2549365
  
• O. García-Prada, P. B. Gothen and I. Mundet i Riera, The Hitchin–Kobayashi correspondence, Higgs pairs and surface group representations, preprint; available at arXiv:\arxivurl0909.4487v3.
• O. García-Prada, P. B. Gothen and I. Mundet i Riera, Higgs bundles and surface group representations in the real symplectic group, J. Topol. 6 (2013), 64–118.
  Mathematical Reviews (MathSciNet): MR3029422
  Digital Object Identifier: doi:10.1112/jtopol/jts030
  
• O. García-Prada, P. B. Gothen and V. Muñoz, Betti numbers of the moduli space of rank $3$ parabolic Higgs bundles, Mem. Amer. Math. Soc. 187 (2007).
  Mathematical Reviews (MathSciNet): MR2308696
  Zentralblatt MATH: 1132.14031
  
• O. García-Prada and I. Mundet i Riera, Representations of the fundamental group of a closed oriented surface in $\Sp(4,\R )$, Topology 43 (2004), 831–855.
  Mathematical Reviews (MathSciNet): MR2061209
  Digital Object Identifier: doi:10.1016/S0040-9383(03)00081-8
  
• O. García-Prada and S. Ramanan, Involutions of the moduli space of Higgs bundles, in preparation.
• P. B. Gothen, Components of spaces of representations and stable triples, Topology 40 (2001), 823-850.
  Mathematical Reviews (MathSciNet): MR1851565
  Digital Object Identifier: doi:10.1016/S0040-9383(99)00086-5
  
• S. Helgason, Differential geometry, Lie groups, and symmetric spaces, Graduate Studies in Mathematics, vol. 34, Amer. Math. Soc., Providence, RI, 2001.
  Mathematical Reviews (MathSciNet): MR1834454
  
• N. J. Hitchin, The self-duality equations on a Riemann surface, Proc. Lond. Math. Soc. (3) 55 (1987), 59–126.
  Mathematical Reviews (MathSciNet): MR0887284
  Digital Object Identifier: doi:10.1112/plms/s3-55.1.59
  Zentralblatt MATH: 0634.53045
  
• N. J. Hitchin, Lie groups and Teichmüller space, Topology 31 (1992), 449–473.
  Mathematical Reviews (MathSciNet): MR1174252
  Digital Object Identifier: doi:10.1016/0040-9383(92)90044-I
  
• G. H. Hitching, Moduli of symplectic bundles over curves, Ph.D. Thesis, Department of Mathematical Sciences, University of Durham, 2005.
• J. Li, The space of surface group representations, Manuscripta Math. 78 (1993), 223–243.
  Mathematical Reviews (MathSciNet): MR1206154
  Digital Object Identifier: doi:10.1007/BF02599310
  Zentralblatt MATH: 0803.32020
  
• M. S. Narasimhan, C. S. Seshadri, Stable and unitary vector bundles on a compact Riemann surface, Ann. of Math. (2) 82 (1965), 540–567.
  Mathematical Reviews (MathSciNet): MR0184252
  Zentralblatt MATH: 0171.04803
  Digital Object Identifier: doi:10.2307/1970710
  
• N. Nitsure, Moduli spaces of semistable pairs on a curve, Proc. Lond. Math. Soc. (3) 62 (1991), 275–300.
  Mathematical Reviews (MathSciNet): MR1085642
  Digital Object Identifier: doi:10.1112/plms/s3-62.2.275
  Zentralblatt MATH: 0733.14005
  
• S. Ramanan, Orthogonal and spin bundles over hyperelliptic curves, Proc. Indian Acad. Sci. Math. Sci. 90 (1981), 151–166.
  Mathematical Reviews (MathSciNet): MR0653952
  Digital Object Identifier: doi:10.1007/BF02837285
  
• A. Ramanathan, Stable principal bundles on a compact Riemann surface, Math. Ann. 213 (1975), 129–152.
  Mathematical Reviews (MathSciNet): MR0369747
  Zentralblatt MATH: 0284.32019
  Digital Object Identifier: doi:10.1007/BF01343949
  
• A. Ramanathan, Moduli for principal bundles over algebraic curves: I, Proc. Indian Acad. Sci. Math. Sci. 106 (1996), 301–328.
  Mathematical Reviews (MathSciNet): MR1420170
  Digital Object Identifier: doi:10.1007/BF02867438
  
• A. Ramanathan, Moduli for principal bundles over algebraic curves: II, Proc. Indian Acad. Sci. Math. Sci. 106 (1996), 421–449.
  Mathematical Reviews (MathSciNet): MR1425616
  Digital Object Identifier: doi:10.1007/BF02837697
  
• A. H. W. Schmitt, Geometric invariant theory and decorated principal bundles, Zurich Lectures in Advanced Mathematics, European Mathematical Society, Zürich 2008.
  Mathematical Reviews (MathSciNet): MR2437660
  Digital Object Identifier: doi:10.4171/065
  Zentralblatt MATH: 1159.14001
  
• C. S. Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann. of Math. (2) 85 (1967), 303–336.
  Mathematical Reviews (MathSciNet): MR0233371
  Zentralblatt MATH: 0173.23001
  Digital Object Identifier: doi:10.2307/1970444
  
• C. T. Simpson, Constructing variations of Hodge structure using Yang–Mills theory and applications to uniformization, J. Amer. Math. Soc. 1 (1988), 867–918.
  Mathematical Reviews (MathSciNet): MR0944577
  Digital Object Identifier: doi:10.2307/1990994
  Zentralblatt MATH: 0669.58008
  
• C. T. Simpson, Higgs bundles and local systems, Publ. Math. Inst. Hautes Études Sci. 75 (1992), 5–95.
  Mathematical Reviews (MathSciNet): MR1179076
  Digital Object Identifier: doi:10.1007/BF02699491