@article{PMIHES_1992__75__5_0, author = {Simpson, Carlos}, title = {Higgs bundles and local systems}, journal = {Publications Math\'ematiques de l'IH\'ES}, volume = {76}, year = {1992}, pages = {5-95}, mrnumber = {94d:32027}, zbl = {0814.32003}, language = {en}, url = {http://dml.mathdoc.fr/item/PMIHES_1992__75__5_0} }
Simpson, Carlos T. Higgs bundles and local systems. Publications Mathématiques de l'IHÉS, Tome 76 (1992) pp. 5-95. http://gdmltest.u-ga.fr/item/PMIHES_1992__75__5_0/
[1] An extension of Schwarz's lemma, Trans. Amer. Math. Soc., 43, no. 3 (1938), 359-364. | JFM 64.0315.04 | MR 1501949 | Zbl 0018.41002
,[2] Groups of integral representation type, Pacific J. of Math., 86 (1980), 15-51. | MR 82c:20014 | Zbl 0444.20006
,[3] L2-cohomology of locally symmetric manifolds of finite volume, Duke Math. J., 50 (1983), 625-647. | MR 86j:22015 | Zbl 0528.22012
and ,[4] Harmonic mappings of Kähler manifolds to locally symmetric spaces, Publ. Math. I.H.E.S., 69 (1989), 173-201. | Numdam | MR 91c:58032 | Zbl 0695.58010
and ,[5] Flat G-bundles with canonical metrics, J. Diff. Geom., 28 (1988), 361-382. | MR 89k:58066 | Zbl 0676.58007
,[6] Rigid representations of Kählerian fundamental groups, J. Diff. Geom., 33 (1991), 239-252. | MR 91k:32018 | Zbl 0731.53061
,[7] letter to J.-P. Serre (1968).
,[8] Un théorème de finitude pour la monodromie, Discrete Groups in Geometry and Analysis, Birkhauser (1987), 1-19. | MR 88h:14013 | Zbl 0656.14010
,[9] La conjecture de Weil pour les surfaces K3, Invent. Math., 15 (1972), 206-222. | MR 45 #5137 | Zbl 0219.14022
,[10] Theorie de Hodge, II, Publ. Math. I.H.E.S., 40 (1971), 5-58. | Numdam | MR 58 #16653a | Zbl 0219.14007
,[11] Travaux de Shimura, Séminaire Bourbaki, Lect. Notes in Math., 244 (1971), 123-165. | Numdam | MR 58 #16675 | Zbl 0225.14007
,[12] Real homotopy theory of Kähler manifolds, Invent. Math., 29 (1975), 245-274. | MR 52 #3584 | Zbl 0312.55011
, , and ,[13] Hodge Cycles, Motives, and Shimura Varieties, Lect. Notes in Math., 900 (1982), Heidelberg, Springer. | MR 84m:14046 | Zbl 0465.00010
, , and ,[14] Harmonic mappings and disc bundles over compact Kähler manifolds, Publ. R.I.M.S., 21 (1985), 819-833. | MR 87g:32017 | Zbl 0601.32023
and ,[15] Formes différentielles et cohomologie sur une variété analytique complexe, I, Ann. of Math., 64 (1956), 83-130. | MR 18,670e | Zbl 0072.40603
,[16] Anti self dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc. (3), 50 (1985), 1-26. | MR 86h:58038 | Zbl 0529.53018
,[17] Infinite determinants, stable bundles, and curvature, Duke Math. J., 54 (1987), 231-247. | MR 88g:32046 | Zbl 0627.53052
,[18] Twisted harmonic maps and self-duality equations, Proc. London Math. Soc., 55 (1987), 127-131. | MR 88g:58040 | Zbl 0634.53046
,[19] Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86 (1964), 109-160. | MR 29 #1603 | Zbl 0122.40102
and ,[20] Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups, Ann. of Math., 92 (1970), 279-326. | MR 42 #1943 | Zbl 0206.03603
and ,[21] The deformation theory of representations of fundamental groups of compact Kähler manifolds, Publ. Math. I.H.E.S., 67 (1988), 43-96. | Numdam | MR 90b:32041 | Zbl 0678.53059
and ,[22] Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese, and Beauville, Invent. Math., 90 (1987), 389-407. | MR 89b:32025 | Zbl 0659.14007
and ,[23] Higher obstructions to deforming cohomology groups of line bundles, Preprint (1990). | Zbl 0735.14004
and ,[24] Periods of integrals on algebraic manifolds I, II, Amer. J. Math., 90 (1968), III, Publ. Math. I.H.E.S., 38 (1970). | Zbl 0188.24801
,[25] Principles of Algebraic Geometric, John Wiley & Sons (1978). | Zbl 0408.14001
and ,[26] Locally homogeneous complex manifolds, Acta Math., 123 (1969), 253-302. | MR 41 #4587 | Zbl 0209.25701
and ,[27] The de Rham homotopy theory of complex algebraic varieties, I, K-Theory, 1 (1987), 271-324. | MR 88h:14029 | Zbl 0637.55006
,[28] Differential geometry, Lie groups, and symmetric spaces, New York, Academic Press (1978). | MR 80k:53081 | Zbl 0451.53038
,[29] Broken symmetries and the masses of gauge bosons, Phys. Rev. Lett., 13, no. 16 (1964), 508-509. | MR 30 #5738
,[30] The self-duality equations on a Riemann surface, Proc. London Math. Soc. (3), 55 (1987), 59-126. | MR 89a:32021 | Zbl 0634.53045
,[31] On the algebra of representative functions of an analytic group, Amer. J. Math., 83 (1961), 111-136. | MR 25 #5129 | Zbl 0116.02203
and ,[32] Coverings of pro-affine algebraic groups, Pacific J. Math., 35 (1970), 399-415. | MR 43 #4830 | Zbl 0205.25103
,[33] Casson's invariant and quadratic reciprocity, Topology, 30 (1991), 335-338. | MR 92g:57028 | Zbl 0729.57007
, and ,[34] Chernklassen von Hermite-Einstein-vektorbundeln, Math. Ann., 260 (1982), 133-141. | MR 83m:32031 | Zbl 0471.53043
,[35] Discrete groups of motions of manifolds of nonpositive curvature, Proc. Inter. Cong. Math. Vancouver (1974), v. 2, 21-34 ; transl. Amer. Math. Soc. Transl., 109 (1977), 33-45. | Zbl 0367.57012
,[36] Semistable sheaves on projective varieties and their restriction to curves, Math. Ann., 258 (1982), 213-224. | MR 83f:14013 | Zbl 0473.14001
and ,[37] Restriction of stable sheaves and representations of the fundamental group, Invent. Math., 77 (1984), 163-172. | MR 85m:14026 | Zbl 0525.55012
and ,[38] The algebraic topology of smooth algebraic varieties, Publ. Math. I.H.E.S., 48 (1978), 137-204 ; and 64 (1985), 185. | Numdam | Zbl 0401.14003
,[39] Stable and unitary bundles on a compact Riemann surface, Ann. of Math., 82 (1965), 540-564. | MR 32 #1725 | Zbl 0171.04803
and ,[40] Moduli spaces of semistable pairs on a curve, Proc. London Math. Soc. 62 (1991), 275-300. | MR 92a:14010 | Zbl 0733.14005
,[41] On the representations of the fundamental group, Compositio Math., 33 (1976), 29-41. | Numdam | MR 54 #5237 | Zbl 0337.14016
,[42] Cohomology of arithmetic subgroups of algebraic groups, I, Ann. of Math., 86 (1967), 409-424 ; II, Ann. of Math., 87 (1968), 279-304. | Zbl 0157.06802
,[43] Catégories tannakiennes, Lect. Notes in Math., 265, Heidelberg, Springer-Verlag (1972). | MR 49 #2769 | Zbl 0241.14008
,[44] Applications of harmonic maps to Kähler geometry, Contemp. Math., 49 (1986), 125-133. | MR 87g:58028 | Zbl 0605.58019
,[45] Linear Representations of Finite Groups, New York, Springer-Verlag (1977). | MR 56 #8675 | Zbl 0355.20006
,[46] Systems of Hodge bundles and uniformization, doctoral dissertation, Harvard University (1987).
,[47] Constructing variations of Hodge structure using Yang-Mills theory and applications to uniformization, Journal of the A.M.S., 1 (1988), 867-918. | MR 90e:58026 | Zbl 0669.58008
,[48] Transcendental aspects of the Riemann-Hilbert correspondence, Illinois J. of Math., 34 (1990), 368-391. | MR 91b:14009 | Zbl 0727.34007
,[49] Complex analyticity of harmonic maps and strong rigidity of complex Kähler manifolds, Ann. of Math., 112 (1980), 73-110. | MR 81j:53061 | Zbl 0517.53058
,[50] Über den Dualitätssatz der nichtkommutativen topologischen Gruppen, Tohoku Math. J., 45 (1938), 1-12. | JFM 64.0362.01 | Zbl 0020.00904
,[51] Connections with Lp bounds on curvature, Comm. Math. Phys., 83 (1982), 31-42. | MR 83e:53035 | Zbl 0499.58019
,[52] On the existence of Hermitian-Yang-Mills connections in stable vector bundles, Comm. Pure and Appl. Math., 39-S (1986), 257-293. | MR 88i:58154 | Zbl 0615.58045
and ,[53] Introduction à l'étude des variétés kähleriennes, Paris, Hermann (1952).
,[54] Discrete subgroups of Lie group I, Ann. of Math., 72 (1960), 369-384 ; II, Ann. of Math., 75 (1962), 578-602 ; Remarks on the cohomology of groups, Ann. of Math., 80 (1964), 149-157. | MR 25 #1241 | Zbl 0131.26602
,[55] Basic Number Theory, New York, Springer-Verlag (1967). | MR 38 #3244 | Zbl 0176.33601
,