Keywords
- Modulus Space
- Riemann Surface
- Symmetric Space
- Quadratic Differential
- Finite Index
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M. F. Atiyah, The signature of fibre bundles, Global Analysis, Papers, in Honor of K. Kodaira, Princeton University Press, (1969).
W. L. Bailey, On the imbedding of V-manifolds in projective space, Amer. J. Math., 79 (1957), 403–430.
R. Bieri and B. Eckmann, Groups with homological duality generalizing Poincare duality, Inv. Math., 20 (1973), 103–124.
J. Birman, A. Lubotsky, J. McCarthy, Abelian and solvable subgroups of the mapping class group, Duke Math. J. 50 (1983), 1107–1120.
A. Borel, Cohomologie de sous-groupes discrets et representations de groupes demisimple, Asterisque, 32–33 (1976), 73–112.
A. Borel and J. P. Serre, Corners and arithmetic groups, Comm. Math. Helv., 48 (1973), 436–491.
B. Bowditch and D. Epstein, On Natural Triangulations Associated to a Punctured Surface, preprint (1984).
K. Brown, Euler characteristics of discrete groups and G-spaces, Inv. Math., 27 (1974), 229–64.
R. Charney, Homology stability for Gln of a Dedekind domain, Inv. Math., 56 (1980), 1–17.
R. Charney and R. Lee, Characteristic classes for the classifying space of Hodge structures, preprint (1984).
R. Charney and R. Lee, Cohomology of the Satake compactification, Topology 22 (1983), 389–423.
M. Dehn, Die gruppe der abbildungsklassen, Acta Math., 69 (1971), 81–115.
C. Earle and J. Eells, The diffeomorphism group of a compact Riemann surface, Bull. A.M.S., 73 (1967), 557–559.
F. P. Gardiner, Schiffer's interior variation and quasiconformal mapping, Duke Math. J., 42 (1975), 371–380.
H. Glover and G. Mislin, On the stable cohomology of the mapping class group, preprint (1985).
W. Goldman, The symplectic nature of fundamental groups of surfaces, Adv. in Math. 54 (1984), 200–225.
E. Grossman, On the residual finiteness of certain mapping class groups, preprint.
G. Harder, A Gauss-Bonnet formula for discrete arithmetically defined groups, Annales Sci. E.N.S.
J. Harer, The second homology group of the mapping class group of an orientable surface, Inv. Math., 72 (1982), 221–239.
J. Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math., 121 (1985), 215–249.
J. Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986), 157–176.
J. Harer and D. Zagier, The Euler characteristic of the moduli space of curves, Invent. Math. 85 (1986), 457–485.
J. Harris, Families of smooth curves, preprint, (1984).
J. Harris and D. Mumford, On the Kodaira dimension of the moduli space of curves, Inv. Math., 67 (1982), 23–86.
W. Harvey, Boundary structure for the modular group, Riemann Surfaces and Related Topics: Proc. 1978 Stony Brook Conf., Princeton University Press, (1978), 245–251.
A. Hatcher and W. Thurston, A presentation of the mapping class group of a closed, orientable surface, Topology, 19 (1980), 221–237.
S. Kerckhoff, The Nielson realization problem, Ann. of Math. (2) 117 (1983), 235–265.
D. Long, A note on the normal subgroups of mapping class groups, preprint, (1985).
D. Long, Maximal subgroups in mapping class groups, preprint, (1985).
H. Masur, The extension of the Weil-Petersson metric to the boundary of Teichmüller space, Duke Math. J., 43 (1976), 623–635.
J. McCarthy, Normalizers and centralizers of pseudo-Anosov mapping classes, preprint, (1984).
J. McCool, Some finitely presented subgroups of the automorphism group of a free group, J. Alg, 35 (1975), 205–213.
E. Miller, The homology of the mapping class group, J. Diff. Geom. 24 (1986), 1–14.
J. Milnor and J. Moore, On the structure of Hopf algebras, Ann. of Math., 81 (1965), 211–264.
S. Morita, Characteristic classes of surface bundles I, preprint, (1984).
L. Mosher, Pseudo-Anosovs on punctured surfaces, thesis, Princeton University, (1983).
D. Mumford, Abelian quotients of the Teichmüller modular group, J. d'Anal. Math., 18 (1967), 227–244.
D. Mumford, Towards an enumerative geometry of the moduli space of curves, Arithmetic and Geometry, Vol. II, Birkhäuser (1983), 271–328.
J. Powell, Two theorems on the mapping class group of a surface, Proc. AMS, 68 (1978), 347–350.
D. Quillen, M.I.T. lectures, (1974–5).
H. Royden, Automorphisms and isometries in Teichmüller space, in Ann. of Math. Studies 66, (1971).
J. P. Serre, Cohomologie des groupes discrets, Prospects in Mathematics, Ann. of Math. Studies no. 70, Princeton University Press (1971), 77–169.
J. P. Serre, Arithmetic groups, Homological Group Theory, edited by C.T.C. Wall, Camb. Univ. Press, (1979).
K. Strebel, On quadratic differentials with closed trajectories and second order poles, J. d'Anal. Math., 19 (1967), 373–382.
K. Strebel, Quadratic Differentials, Erg. der Math. und ihrer Grenz. 5, Springer-Verlag (1984).
W. Thurston, Geometry and topology of 3-manifolds, Princeton lectures, (1978).
W. Thurston, A spine for Teichmüller space, preprint, (1984).
W. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, preprint.
K. Vogtmann, Spherical posets and homology stability for On,n, Topology, 20 (1981), 119–132.
J. Wagoner, Stability for the homology of the general linear group of a local ring, Topology, 15 (1976), 417–423.
B. Wajnryb, A simple presentation for the mapping class group of an orientable surface, Israel J. Math. 45 (1983), 157–174.
S. Wolpert, The Fenchel-Neilsen deformation, Ann. of Math., 115 (1982), 501–528.
S. Wolpert, A projective embedding of the moduli space of stable curves, preprint (1983).
S. Wolpert, On the symplectic geometry of deformations of a hyperbolic surface, Ann. of Math., 117 (1983), 207–234.
S. Wolpert, Thurston's Riemannian metric for Teichmüller space, J. Diff. Geom. 23 (1986), 143–174.
S. Wolpert, On the Weil-Petersson geometry of the moduli space of curves, Amer. J. Math., 107 (1985), 969–998.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Harer, J.L. (1988). The cohomology of the moduli space of curves. In: Sernesi, E. (eds) Theory of Moduli. Lecture Notes in Mathematics, vol 1337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082808
Download citation
DOI: https://doi.org/10.1007/BFb0082808
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50080-3
Online ISBN: 978-3-540-45920-0
eBook Packages: Springer Book Archive
