Volume 8, issue 3 (2008)

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The homology of the stable nonorientable mapping class group

Oscar Randal-Williams

Algebraic & Geometric Topology 8 (2008) 1811–1832
Bibliography
1 J C Becker, D H Gottlieb, The transfer map and fiber bundles, Topology 14 (1975) 1 MR0377873
2 J C Becker, R E Schultz, The real semicharacteristic of a fibered manifold, Quart. J. Math. Oxford Ser. $(2)$ 33 (1982) 385 MR679811
3 G Brumfiel, I Madsen, Evaluation of the transfer and the universal surgery classes, Invent. Math. 32 (1976) 133 MR0413099
4 F R Cohen, T J Lada, J P May, The homology of iterated loop spaces, Lecture Notes in Math. 533, Springer (1976) MR0436146
5 W G Dwyer, Exotic convergence of the Eilenberg–Moore spectral sequence, Illinois J. Math. 19 (1975) 607 MR0383409
6 J Ebert, O Randal-Williams, On the divisibility of characteristic classes of non-oriented surface bundles, to appear in Topology Appl. (2008) arXiv:0707.0198
7 S Galatius, Mod $p$ homology of the stable mapping class group, Topology 43 (2004) 1105 MR2079997
8 S Galatius, Ib Madsen, U Tillmann, M Weiss, The homotopy type of the cobordism category arXiv:math/0605249
9 M Korkmaz, First homology group of mapping class groups of nonorientable surfaces, Math. Proc. Cambridge Philos. Soc. 123 (1998) 487 MR1607985
10 T Kudo, S Araki, Topology of $H_n$–spaces and $H$–squaring operations, Mem. Fac. Sci. Kyūsyū Univ. Ser. A. 10 (1956) 85 MR0087948
11 I Madsen, U Tillmann, The stable mapping class group and $Q(\mathbb{C} P^{\infty}_{+})$, Invent. Math. 145 (2001) 509 MR1856399
12 I Madsen, M Weiss, The stable moduli space of Riemann surfaces: Mumford's conjecture, Ann. of Math. $(2)$ 165 (2007) 843 MR2335797
13 B M Mann, E Y Miller, H R Miller, $S^1$–equivariant function spaces and characteristic classes, Trans. Amer. Math. Soc. 295 (1986) 233 MR831198
14 J W Milnor, J C Moore, On the structure of Hopf algebras, Ann. of Math. $(2)$ 81 (1965) 211 MR0174052
15 S Priddy, Dyer–Lashof operations for the classifying spaces of certain matrix groups, Quart. J. Math. Oxford Ser. $(2)$ 26 (1975) 179 MR0375309
16 N Wahl, Homological stability for the mapping class groups of non-orientable surfaces, Invent. Math. 171 (2008) 389 MR2367024