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The deformation theory of representations of fundamental groups of compact Kähler manifolds
Author(s):
William M.
Goldman;
John J.
Millson
Journal:
Bull. Amer. Math. Soc.
18
(1988),
153-158.
MSC (1985):
Primary 53C55, 57M05;
Secondary 14C30, 32J25
MathSciNet review:
929091
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References |
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Additional information
References:
- 1.
- M. Artin, On solutions to analytic equations, Invent. Math. 5 (1968), 277-291. MR 232018
- 2.
- K. Corlette, Gauge theory and representations of Kähler groups, The Geometry of Group Representations (Proceedings of Amer. Math. Soc. Summer Conference 1987, Boulder, Colorado), Contemp. Math, (to appear). MR 957514
- 3.
- P. Deligne, Letter to J. Millson and W. Goldman, April 24, 1986.
- 4.
- P. Deligne, P. A. Griffiths, J. W. Morgan and D. Sullivan, Rational homotopy type of compact Kähler manifolds, Invent. Math. 29 (1975), 245-274. MR 382702
- 5.
- W. M. Goldman, Representations of fundamental groups of surfaces, Geometry and Topology, Proceedings, University of Maryland 1983-1984 (J. Alexander and J. Harer, eds.), Lecture Notes in Math., vol. 1167, Springer-Verlag, Berlin/Heidelberg/New York, 1985, pp. 95-117. MR 827264
- 6.
- W. M. Goldman and J. J. Millson, Local rigidity of discrete groups acting on complex hyperbolic space, Invent. Math. 88 (1987), 495-520. MR 884798
- 7.
- W. M. Goldman and J. J. Millson, Deformations of flat bundles over Kähler manifolds, Geometry and Topology, Manifolds, Varieties and Knots (C. McCrory and T. Shifrin, eds.), Lecture Notes in Pure and Applied Math., vol. 105, Marcel Dekker, New York/Basel, 1987, pp. 129-145. MR 873290
- 8.
- P. A. Griffiths et al., Topics in transcendental algebraic geometry, Ann. of Math. Studies 106 (1984), Princeton Univ. Press, Princeton, New Jersey. MR 756842
- 9.
- D. Johnson and J. Millson, Deformation spaces associated to compact hyperbolic manifolds, Discrete Groups in Geometry and Analysis, Papers in Honor of G. D. Mostow on His Sixtieth Birthday (R. Howe, ed.), Progress in Math., vol. 67, Birkhäuser, Boston/Basel/Stuttgart, 1987, pp. 48-106. MR 900823
- 10.
- A. Lubotzky and A. Magid, Varieties of representations of finitely generated groups, Mem. Amer. Math. Soc. No. 336 (1985). MR 818915
- 11.
- M. Schlessinger, Functors of Artin rings, Trans. Amer. Math. Soc. 130 (1968), 208-222. MR 217093
- 12.
- M. Schlessinger and J. Stasheff, Deformation theory and rational homotopy type (preprint).
- 13.
- C. T. Simpson, Systems of Hodge bundles and uniformization, doctoral dissertation, Harvard University, 1987.
- 14.
- S. Zucker, Hodge theory with degenerating coefficients, Ann. of Math. (2) 109 (1979), 415-476. MR 534758
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15631-5
PII:
S 0273-0979(1988)15631-5
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