References
[E.B.] Brown, E.: The Kervaire invariant of a manifold. AMS Proc. Pure Math.22, 65–71 (1970)
[K.B.] Brown, K.: Cohomology of groups. Berlin Heidelberg New York: Springer 1982. Graduate Texts in Mathematics, vol. 87
[C] Charney, R.: Homology stability of GL n of a Dedekind domain. Invent. Math.56, 1–17 (1980)
[H1] Harer, J.: The second homology group of the mapping class group of an orientable surface. Invent. Math.72, 221–239 (1982)
[H2] Harer, J.: Stability of the homology of the mapping class groups of orientable surfaces. Ann. Math.121, 215–249 (1985)
[H3] Harer, J.: The third homology group of the moduli space of curves (preprint, 1988)
[H4] Harer, J.: The Picard group of the moduli space of curves with spin structure (preprint, 1988)
[LMW] Lee, R., Miller, E., Weintraub, S.: Rochlin invariants, theta functions and the holonomy of some determinant line bundles. J. reine angew. Math.392, 187–218 (1988)
[Q] Quillen, D.: MIT lectures (1974–1975)
[RS] Rourke, C., Sullivan, D.: On the Kervaire obstruction. Ann. Math.94, 397–413 (1971)
[V] Vogtmann, K.: Spherical posets and homology stability forO n, n. . Topology20, 119–132 (1981)
[W] Wagoner, J.B.: Stability for homology of the general linear group of a local ring. Topology15, 417–423 (1976)
Author information
Authors and Affiliations
Additional information
This work was supported by grants from the Sloan Foundation, the National Science Foundation and the CNR
Rights and permissions
About this article
Cite this article
Harer, J.L. Stability of the homology of the moduli spaces of Riemann surfaces with spin structure. Math. Ann. 287, 323–334 (1990). https://doi.org/10.1007/BF01446896
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01446896