This is a preview of subscription content, log in via an institution to check access.
References
Chuckrow, V.: On Schottky groups with applications to Kleinian groups. Ann. Math.88, 47–61 (1968)
Culler, M.: Lifting representations to covering groups. Adv. Math.59, 64–70 (1986)
Culler, M., Shalen, P.B.: Varieties of group representations and splittings of 3-manifolds. Ann. Math.117, 109–146 (1983)
Eisenbud, D., Hirsch, U., Neumann, W.: Transverse foliations of seifert bundles and self homeomorphisms of the circle. Comment. Math. Helv.56, 638–660 (1981)
Fricke, R., Klein, F.: Vorlesungen über die Theorie der automorphen Funktionen, vol. 1. Stuttgart: B.G. Teubner 1897
Fried, D.: Word maps, isotopy and entropy. Trans. Am. Math. Soc.296, 851–859 (1986)
Ghys, E.: Classe d'Euler et minimale exceptionel. Topology26, 93–105 (1987)
Goldman, W.: Discontinuous groups and the Euler class. Doctoral thesis, University of California, Berkeley (1980)
Goldman, W.: Flat bundles with solvable holonomy II: Obstruction theory. Proc. Am. Math. Soc.83, 175–178 (1981)
Goldman, W.: Characteristic classes and representations of discrete subgroups of Lie groups. Bull. Am. Math. Soc. (New Series)6, 91–94 (1982)
Goldman, W.: The symplectic nature of fundamental groups of surfaces. Adv. Math.54, 200–225 (1984)
Goldman, W.: Representations of fundamental groups of surfaces. In: Geometry and topology, Proceedings, University of Maryland 1983–1984. Alexander, J., Harer, J. (eds.), (Lecture Notes in Mathematics, Vol. 1167, pp. 95–117). Berlin-Heidelberg-New York: Springer 1985
Goldman, W.: Invariant functions on Lie groups and Hamiltonian flows of surface group representations. Invent. Math.85, 263–302 (1986)
Goldman, W.: Projective structures with Fuchsian holonomy. J. Differ. Geom.25, 297–326 (1987)
Goldman, W.: Convex real projective structures on compact surfaces. J. Differ. Geom. (submitted)
Goldman, W.: Geometric structures and varieties of representations. In: The geometry of group representations, Goldman, W., Magid, A. (eds.). Contemp. Math. (to appear)
Goldman, W., Millson, J.J.: Local rigidity of discrete groups acting on complex hyperbolic space. Invent. Math.88, 495–520 (1987)
Goldman, W., Millson, J.: The deformation theory of representations of fundamental groups of compact Kähler manifolds. Publ. Math. I.H.E.S. (to appear)
Haefliger, A., Quach Ngoc Du, Appendice: Une présentation du groupe fundamental d'une orbifold. In: Structure transverse des feuilletages, Astérisque116, pp. 98–107, Société Mathématique de France, 1984
Harvey, W.: Spaces of discrete groups. In: Discrete groups and automorphic functions, Proceedings of a NATO Advanced Study Institute, pp. 295–348. London-New York-San Fancisco: Academic Press 1977
Hironaka, H.: Triangulations of algebraic sets. In: Algebraic geometry — Arcata 1974, Proceedings of Symposia in Pure Mathematics, vol. 29, pp. 165–185. American Mathematical Society, Providence, Rhode Island 1975
Hitchin, N.J.: The self-duality equations on Riemann surfaces. Proc. Lond. Math. Soc.55, 59–126 (1987)
Hirzebruch, F.: Topological methods in algebraic geometry. Berlin-Heidelberg-New York: Springer 1966
Jankins, M.: The space of homeomorphisms from a Fuchsian group toPSL(2,R). Doctoral dissertation, University of Maryland 1983
Jankins, M., Neumann, W.: Homomorphisms of Fuchsian groups toPSL(2,R). Comment. Math. Helv.60, 480–495 (1985)
Kulkarni, R., Raymond, F.: 3-Dimensional Lorentz space-forms and Seifert fiber spaces. J. Differ. Geom.21, 231–268 (1985)
Lubotzky, A., Magid, A.: Varieties of representations of finitely generated groups. Mem. Am. Math. Soc.336 (1985)
Magnus, W.: The uses of 2 by 2 matrices in combinatorial group theory. A survey. Result. Math.4, 171–192 (1981)
Magnus, W.: Rings of Fricke characters and automorphism groups of free groups. Math. Z.170, 91–103 (1980)
Matsumoto, S.: Some remarks on foliatedS 1-bundles. Invent. Math.90, 343–358 (1987)
Milnor, J.W.: On the existence of a connection with curvature zero. Comment. Math. Helv.32, 215–223 (1958)
Morgan, J.W., Shalen, P.B.: Valuations, trees and degenerations of hyperbolic structures I. Ann. Math.120, 401–476 (1984)
Newstead, P.E.: Topological properties of some spaces of stable bundles. Topology6, 241–267 (1967)
Riley, R.: Holomorphically parametrized families of subgroups ofSL(2,C). Mathematika32, 248–264 (1985)
Steenrod, N.E.: The topology of Fiber bundles. Princeton Univ. Press 1951
Sullivan, D.: Quasiconformal homeomorphisms and dynamics, II: Structural stability implies hyperbolicity. Acta Math.155, 244–260 (1986)
Thurston, W.P.: The geometry and topology of 3-manifolds. Princeton Univ. Press (to appear)
Toledo, D.: Representations of surface groups in ≦PSU(n, 1) with maximum characteristic number. J. Differ. Geom. (in press) (1988)
Weil, A.: On discrete subgroups of Lie groups. Ann. Math.72, 369–384 (1960);75, 578–602 (1962)
Whitney, H.: Elementary structure of real algebraic varieties. Ann. Math.66, 545–556 (1957)
Wood, J.W.: Bundles with totally disconnected structure group. Comment. Math. Helv.51, 183–199 (1971)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Goldman, W.M. Topological components of spaces of representations. Invent Math 93, 557–607 (1988). https://doi.org/10.1007/BF01410200
Issue Date:
DOI: https://doi.org/10.1007/BF01410200