This is a preview of subscription content, log in via an institution to check access.
References
M. Asada, On the filtration of topological and pro-l mapping class groups of punctured Riemann surfaces, preprint
M. Asada, H. Nakamura, On graded quotient modules of mapping class groups of surfaces, Israel J. Math. (to appear)
A. Grothendieck, Esquisse d'un Programme, mimeographed note (1984)
Y. Ihara, Automorphisms of pure sphere braid groups and Galois representations, The Grothendieck Festschrift, Volume II, Birkhäuser, pp. 353–373
Y. Ihara, The Galois representation arising fromP 1−{0, 1, ∞} and Tate twists of even degree, Galois Groups over √, Math. Sci. Res. Inst. Pub. vol. 16, Y. Ihara, K. Ribet, J.P. Serre (eds.), Springer, Berlin-Heidelberg-New York, 1989, pp. 299–313.
Y. Ihara, M. Kaneko, Pro-l, pure braid groups of Riemann surfaces and Galois representations, Osaka J. Math.29 (1992), 1–19
D. Johnson, An abelian quotient of the mapping class group ℑ g , Math. Ann.249 (1980), 225–242.
M. Kaneko, Certain automorphism groups of pro-l fundamental groups of punctured Riemann surfaces. J. Fac. Sci. Univ. Tokyo36 (1989), 363–372.
F. Knudsen, The projectivity of the moduli space of stable curves II: The stacksM g, n , Math. Scand.52 (1983), 161–199
M. Matsumoto, On the galois image in the derivation algebra of π1 of the projective line minus three points, Contemp. Math. (to appear)
S. Morita, Abelian quotients of subgroups of the mapping class group of surfaces, Duke. Math. J. (1993), 699–726
H. Nakamura, Galois rigidity of pure sphere braid groups and profinite calculus, J. Math. Sciences, the Univ. of Tokyo1 (1994), 71–136
H. Nakamura, Coupling of universal monodromy representations of Galois-Teichmüller modular groups, preprint, RIMS-976, April 1994
H. Nakamura, H. Tsunogai, Some finiteness theorems on Galois centralizers in pro-l mapping class groups, J. reine angew Math.441 (1993), 115–144
H. Nakamura, H. Tsunogai, Atlas of pro-l mapping class groups and and related topics, in preparation
T. Oda, Etale homotopy type of the moduli spaces of algebraic curves, preprint
T. Oda, The universal monodromy representations on the pro-nilpotent fundamental groups of algebraic curves, Mathematische Arbeitstagung (Neue Serie) 9.–15. Juni 1993, Max-Planck-Institute preprint MPI/93-57.
M. Raynaud, Propriete cohomologique des faisceaux d'ensembles et des faisceaux de groupes non commutatifs, A. Grothendieck: Revêtments etales et groupe fondamental (SGA 1), Springer Lect. Note in Math., vol 224, pp. 344–439
G.P. Scott, Braid groups and the group of homeomorphisms of a surface, Proc. Camb. Phil. Soc.68 (1970), 605–617
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nakamura, H., Takao, N. & Ueno, R. Some stability properties of Teichmüller modular function fields with pro-l weight structures. Math. Ann. 302, 197–213 (1995). https://doi.org/10.1007/BF01444493
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01444493