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Characteristic classes of surface bundles

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References

  • [A] Atiyah, M.F.: The signature of fibre-bundles. Global Analysis, Papers in Honor of K. Kodaira, Tokyo University Press, 1969, pp. 73–84

  • [AS] Atiyah, M.F., Singer, I.M.: The index of elliptic operators: IV. Ann. Math.92, 119–138 (1970)

    Google Scholar 

  • [Bi] Birman, J.S.: The algebraic structure of surface mapping class groups. In: Harvey, W.J. (ed.) Discrete Groups and Automorphic Functions. New York: Academic Press, 1977, pp. 163–198

    Google Scholar 

  • [BH] Borel, A., Hirzebruch, F.: Characteristic classes and homogeneous spaces, I. Am. J. Math.80, 458–538 (1958)

    Google Scholar 

  • [Bo] Bott, R.: On a topological obstruction to integrability. Global Analysis, Proc. Sympos. Pure Math., Am. Math. Soc.16, 127–131 (1970)

    Google Scholar 

  • [EE] Earle, C.J., Eells, J.: The diffeomorphism group of a compact Riemann surface. Bull. Am. Math. Soc.73, 557–559 (1967)

    Google Scholar 

  • [ES] Earle, C.J., Schatz, A.: Teichmüller theory for surfaces with boundary. J. Differ. Geom.4, 169–185 (1970)

    Google Scholar 

  • [FH] Farrell, T., Hsiang, W.C.: On the rational homotopy groups of the diffeomorphism groups of discs, spheres and aspherical manifolds. Proc. Sympos. Pure Math., Am. Math. Soc.32, 325–337 (1978)

    Google Scholar 

  • [Har1] Harer, J.: The second homology group of the mapping class group of an orientable surface. Invent. Math.72, 221–239 (1983)

    Google Scholar 

  • [Har2] Harer, J.: Stability of the homology of the mapping class groups of orientable surfaces. Ann. Math.121, 215–249 (1985)

    Google Scholar 

  • [Har3] Harer, J.: The virtual cohomological dimension of the mapping class group of an orientable surface. Invent. Math.84, 157–176 (1986)

    Google Scholar 

  • [Hz] Harer, J., Zagier, D.: The Euler characteristic of the moduli space of curves. Invent. Math.85, 457–485 (1986)

    Google Scholar 

  • [Harr] Harris, J.: Families of smooth curves. Duke Math. J.51, 409–419 (1984)

    Google Scholar 

  • [Hav] Harvey, W.J.: Geometric structure of surface mapping class groups. In: Wall, C.T.C. (ed.) Homological Group Theory. London Mathematical Society Lecture Notes 36, Cambridge University Press 1979, pp. 255–269

  • [Hi] Hirzebruch, F.: The signature of ramified coverings. Global Analysis, Papers in Honor of K. Kodaira, Tokyo University Press, 1969, pp. 253–265

  • [Ke] Kerckhoff, S.P.: The Nielsen realization problem. Ann. Math.117, 235–265 (1983)

    Google Scholar 

  • [Ko] Kodaira, K.: A certain type of irregular algebraic surfaces. J. Anal. Math.19, 207–215 (1967)

    Google Scholar 

  • [Mi] Miller, E.Y.: The homology of the mapping class group. J. Differ. Geom.24, 1–14 (1986)

    Google Scholar 

  • [MS] Milnor, J., Stasheff, J.: Characteristic Classes. Ann. Math. Stud. 76, Princeton University Press 1974

  • [Mo1] Morita, S.: Characteristic classes of surface bundles. Bull. Am. Math. Soc.11, 386–388 (1984)

    Google Scholar 

  • [Mo2] Morita, S.: Family of Jacobian manifolds and characteristic classes of surface bundles (preprint); see also Proc. Jpn Acad.60, 373–376 (1984)

    Google Scholar 

  • [Mo3] Morita, S.: Family of Jacobian manifolds and characteristic classes of surface bundles II (preprint); see also Proc. Jpn Acad.61, 112–115 (1985)

    Google Scholar 

  • [Mu] Mumford, D.: Towards an enumerative geometry of the moduli space of curves. Arithmetic and Geometry. Progr. Math.36, 271–328 (1983)

    Google Scholar 

  • [S] Sullivan, D.: Infinitesimal computations in topology. Publ. Math. I.H.E.S.47, 269–331 (1977)

    Google Scholar 

  • [T] Thurston, W.: Foliations and groups of diffeomorphisms. Bull. Am. Math. Soc.80, 304–307 (1974)

    Google Scholar 

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Morita, S. Characteristic classes of surface bundles. Invent Math 90, 551–577 (1987). https://doi.org/10.1007/BF01389178

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