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Table of contents for this issue | Next article Simpson, Carlos T. Higgs bundles and local systems. Publications Mathématiques de l'IHÉS, 75 (1992), p. 5-95 Full text djvu | pdf | Reviews MR 94d:32027 | Zbl 0814.32003 | 13 citations in Numdam stable URL: http://www.numdam.org/item?id=PMIHES_1992__75__5_0 Bibliography [2] H. BASS, Groups of integral representation type, Pacific J. of Math., 86 ( Article | MR 82c:20014 | Zbl 0444.20006 [3] A. BOREL and W. CASSELMAN, L2-cohomology of locally symmetric manifolds of finite volume, Duke Math. J., 50 ( Article | MR 86j:22015 | Zbl 0528.22012 [4] J. A. CARLSON and D. TOLEDO, Harmonic mappings of Kähler manifolds to locally symmetric spaces, Publ. Math. I.H.E.S., 69 ( Numdam | MR 91c:58032 | Zbl 0695.58010 [5] K. CORLETTE, Flat G-bundles with canonical metrics, J. Diff. Geom., 28 ( [6] K. CORLETTE, Rigid representations of Kählerian fundamental groups, J. Diff. Geom., 33 ( [7] P. DELIGNE, letter to J.-P. Serre ( [8] P. DELIGNE, Un théorème de finitude pour la monodromie, Discrete Groups in Geometry and Analysis, Birkhauser ( [9] P. DELIGNE, La conjecture de Weil pour les surfaces K3, Invent. Math., 15 ( [10] P. DELIGNE, Theorie de Hodge, II, Publ. Math. I.H.E.S., 40 ( Numdam | MR 58 #16653a | Zbl 0219.14007 [11] P. DELIGNE, Travaux de Shimura, Séminaire Bourbaki, Lect. Notes in Math., 244 ( Numdam | MR 58 #16675 | Zbl 0225.14007 [12] P. DELIGNE, P. GRIFFITHS, J. MORGAN and D. SULLIVAN, Real homotopy theory of Kähler manifolds, Invent. Math., 29 ( [13] P. DELIGNE, J. S. MILNE, A. OGUS and K. SHIH, Hodge Cycles, Motives, and Shimura Varieties, Lect. Notes in Math., 900 ( [14] K. DIEDERICH and T. OHSAWA, Harmonic mappings and disc bundles over compact Kähler manifolds, Publ. R.I.M.S., 21 ( [15] P. DOLBEAULT, Formes différentielles et cohomologie sur une variété analytique complexe, I, Ann. of Math., 64 ( [16] S. K. DONALDSON, Anti self dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. (3), 50 ( [17] S. K. DONALDSON, Infinite determinants, stable bundles, and curvature, Duke Math. J., 54 ( Article | MR 88g:32046 | Zbl 0627.53052 [18] S. K. DONALDSON, Twisted harmonic maps and self-duality equations, Proc. London Math. Soc., 55 ( [19] J. EELLS and J. H. SAMPSON, Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86 ( [20] H. GARLAND and M. S. RAGHUNATHAN, Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups, Ann. of Math., 92 ( [21] W. GOLDMAN and J. MILLSON, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Publ. Math. I.H.E.S., 67 ( Numdam | MR 90b:32041 | Zbl 0678.53059 [22] M. GREEN and R. LAZARSFELD, Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese, and Beauville, Invent. Math., 90 ( [23] M. GREEN and R. LAZARSFELD, Higher obstructions to deforming cohomology groups of line bundles, Preprint ( [24] P. GRIFFITHS, Periods of integrals on algebraic manifolds I, II, Amer. J. Math., 90 ( [25] P. GRIFFITHS and J. HARRIS, Principles of Algebraic Geometric, John Wiley & Sons ( [26] P. GRIFFITHS and W. SCHMID, Locally homogeneous complex manifolds, Acta Math., 123 ( [27] R. HAIN, The de Rham homotopy theory of complex algebraic varieties, I, K-Theory, 1 ( [28] S. HELGASON, Differential geometry, Lie groups, and symmetric spaces, New York, Academic Press ( [29] P. W. HIGGS, Broken symmetries and the masses of gauge bosons, Phys. Rev. Lett., 13, no. 16 ( [30] N. J. HITCHIN, The self-duality equations on a Riemann surface, Proc. London Math. Soc. (3), 55 ( [31] G. HOCHSCHILD and G. D. MOSTOW, On the algebra of representative functions of an analytic group, Amer. J. Math., 83 ( [32] G. HOCHSCHILD, Coverings of pro-affine algebraic groups, Pacific J. Math., 35 ( Article | MR 43 #4830 | Zbl 0205.25103 [33] P. B. KRONHEIMER, M. J. LARSEN and J. SCHERK, Casson's invariant and quadratic reciprocity, Topology, 30 ( [34] M. LUBKE, Chernklassen von Hermite-Einstein-vektorbundeln, Math. Ann., 260 ( [35] G. A. MARGULIS, Discrete groups of motions of manifolds of nonpositive curvature, Proc. Inter. Cong. Math. Vancouver ( [36] V. B. MEHTA and A. RAMANATHAN, Semistable sheaves on projective varieties and their restriction to curves, Math. Ann., 258 ( [37] V. B. MEHTA and A. RAMANATHAN, Restriction of stable sheaves and representations of the fundamental group, Invent. Math., 77 ( [38] J. MORGAN, The algebraic topology of smooth algebraic varieties, Publ. Math. I.H.E.S., 48 ( Numdam | Zbl 0401.14003 [39] M. S. NARASIMHAN and C. S. SESHADRI, Stable and unitary bundles on a compact Riemann surface, Ann. of Math., 82 ( [40] N. NITSURE, Moduli spaces of semistable pairs on a curve, Proc. London Math. Soc. 62 ( [41] M. V. NORI, On the representations of the fundamental group, Compositio Math., 33 ( Numdam | MR 54 #5237 | Zbl 0337.14016 [42] M. S. RAGUNATHAN, Cohomology of arithmetic subgroups of algebraic groups, I, Ann. of Math., 86 ( [43] N. SAAVEDRA RIVANO, Catégories tannakiennes, Lect. Notes in Math., 265, Heidelberg, Springer-Verlag ( [44] J. H. SAMPSON, Applications of harmonic maps to Kähler geometry, Contemp. Math., 49 ( [45] J.-P. SERRE, Linear Representations of Finite Groups, New York, Springer-Verlag ( [46] C. T. SIMPSON, Systems of Hodge bundles and uniformization, doctoral dissertation, Harvard University ( [47] C. T. SIMPSON, Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, Journal of the A.M.S., 1 ( [48] C. T. SIMPSON, Transcendental aspects of the Riemann-Hilbert correspondence, Illinois J. of Math., 34 ( Article | MR 91b:14009 | Zbl 0727.34007 [49] Y. T. SIU, Complex analyticity of harmonic maps and strong rigidity of complex Kähler manifolds, Ann. of Math., 112 ( [50] T. TANNAKA, Über den Dualitätssatz der nichtkommutativen topologischen Gruppen, Tohoku Math. J., 45 ( [51] K. K. UHLENBECK, Connections with Lp bounds on curvature, Comm. Math. Phys., 83 ( Article | MR 83e:53035 | Zbl 0499.58019 [52] K. K. UHLENBECK and S. T. YAU, On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Comm. Pure and Appl. Math., 39-S ( [53] A. WEIL, Introduction à l'étude des variétés kähleriennes, Paris, Hermann ( [54] A. WEIL, Discrete subgroups of Lie group I, Ann. of Math., 72 ( [55] A. WEIL, Basic Number Theory, New York, Springer-Verlag ( |
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