This is a preview of subscription content, log in via an institution to check access.
References
Andreadakis, S.: On the automorphisms of free groups and free nilpotent groups. Proc. Lond. Math. Soc.15, 239–268 (1965)
Brown, K.S.: Cohomology of Groups. Berlin Heidelberg New York: Springer 1982
Earle, C.J., Eells, J.: The diffeomorphism group of a compact Riemann surface. Bull. Am. Math. Soc.73, 557–559 (1967)
Griffiths, P., Morgan, J.: Rational Homotopy Theory and Differential Forms. (Prog. Math., vol. 16) Boston Basel Stuttgart: Birkhäuser 1981
Hain, R.: The geometry of the mixed Hodge structure on the fundamental group. Proc. Symp. Pure Math.46, 247–282 (1987)
Johnson, D.: An abelian quotient of the mapping class groupJ g . Math. Ann.249, 225–242 (1980)
Johnson, D.: The structure of the Torelli group I: A finite set of generators forJ g . Ann. Math.118, 423–442 (1983)
Johnson, D.: A survey of the Torelli group. Contemp. Math.20, 165–179 (1983)
Johnson, D.: The structure of the Torelli group II and III. Topology24, 113–144 (1985)
Magnus, W., Karrass, A., Solitar, D.: Combinatorial Group Theory. New York: Wiley 1966
Mal'cev, A.I.: On a class of homogeneous spaces. Izv. Akad. Nauk13, 9–32 (1949); Am. Math. Soc. Transl.39 (1951)
Morita, S.: Characteristic classes of surface bundles. Invent. Math.90, 551–577 (1987)
Morita, S.: Families of Jacobian manifolds and characteristic classes of surface bundles I. Ann. Inst. Fourier39, 777–810 (1989)
Morita, S.: Families of Jacobian manifolds and characteristic classes of surface bundles II. Math. Proc. Camb. Philos. Soc.105, 79–101 (1989)
Morita, S.: Casson's invariant for homology 3-spheres and characteristic classes of surface bundles I. Topology28, 305–323 (1989)
Morita, S.: On the structure and the homology of the Torelli group. Proc. Japan Acad.65, 147–150 (1989)
Morita, S.: Mapping class groups of surfaces and three dimensional manifolds. In: Proc. ICM 90, Kyoto pp. 665–674, Berlin Heidelberg New York: Springer 1991
Morita, S.: Abelian quotients of subgroups of the mapping class group of surfaces. (Preprint)
Pulte, M.: The fundamental group of a Riemann surface: mixed Hodge structures and algebraic cycles. Duke Math. J.57, 721–769 (1988)
Raghunathan, M.S.: Discrete Subgroups of Lie Groups. Berlin Heidelberg New York: Springer 1972
Sullivan, D.: Infinitesimal computations in topology. Publ. Math., Inst. Hautes Étud. Sci.47, 269–331 (1977)
Sullivan, D.: On the intersection ring of compact three manifolds. Topology14, 275–277 (1975)
Author information
Authors and Affiliations
Additional information
Oblatum 22-X-1991 & 3-VII-1992
Rights and permissions
About this article
Cite this article
Morita, S. The extension of Johnson's homomorphism from the Torelli group to the mapping class group. Invent Math 111, 197–224 (1993). https://doi.org/10.1007/BF01231286
Issue Date:
DOI: https://doi.org/10.1007/BF01231286