Algebraic & Geometric Topology Volume 11, issue 1 (2011)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Algebraic independence of generalized MMM–classes

Johannes Ebert

Algebraic & Geometric Topology 11 (2011) 69–105

DOI: 10.2140/agt.2011.11.69

Bibliography

1	T Akita, N Kawazumi, T Uemura, Periodic surface automorphisms and algebraic independence of Morita–Mumford classes, J. Pure Appl. Algebra 160 (2001) 1 MR1829309
2	M F Atiyah, The signature of fibre-bundles, from: "Global Analysis (Papers in Honor of K Kodaira)", Univ. Tokyo Press (1969) 73 MR0254864
3	M F Atiyah, R Bott, The moment map and equivariant cohomology, Topology 23 (1984) 1 MR721448
4	M F Atiyah, I M Singer, The index of elliptic operators. IV, Ann. of Math. $(2)$ 93 (1971) 119 MR0279833
5	J C Becker, D H Gottlieb, The transfer map and fiber bundles, Topology 14 (1975) 1 MR0377873
6	A Borel, F Hirzebruch, Characteristic classes and homogeneous spaces. I, Amer. J. Math. 80 (1958) 458 MR0102800
7	R O Burdick, Oriented manifolds fibered over the circle, Proc. Amer. Math. Soc. 17 (1966) 449 MR0220302
8	P E Conner, The bordism class of a bundle space, Michigan Math. J. 14 (1967) 289 MR0227995
9	J L Dupont, Curvature and characteristic classes, Lecture Notes in Math. 640, Springer (1978) MR0500997
10	J Ebert, A vanishing theorem for characteristic classes of odd-dimensional manifold bundles, to appear in J. Reine Angew. Math. arXiv:0902.4719
11	J Ebert, J Giansiracusa, Pontrjagin–Thom maps and the homology of the moduli stack of stable curves, to appear in Math. Ann. arXiv:0712.0702
12	J Ebert, O Randal-Williams, On the divisibility of characteristic classes of non-oriented surface bundles, Topology Appl. 156 (2008) 246 MR2475111
13	S Führing, $\cp^2$–Bündel und Bordismus, Diplomarbeit (2008)
14	S Galatius, O Randal-Williams, Monoids of moduli spaces of manifolds, Geom. Topol. 14 (2010) 1243 MR2653727
15	S Galatius, U Tillmann, I Madsen, M Weiss, The homotopy type of the cobordism category, Acta Math. 202 (2009) 195 MR2506750
16	J Giansiracusa, The diffeomorphism group of a $K3$ surface and Nielsen realization, J. Lond. Math. Soc. $(2)$ 79 (2009) 701 MR2506694
17	M W Hirsch, Differential topology, Graduate Texts in Math. 33, Springer-Verlag (1976) MR0448362
18	F Hirzebruch, T Berger, R Jung, Manifolds and modular forms, Aspects of Math. E20, Friedr. Vieweg & Sohn (1992) MR1189136
19	D Husemoller, Fibre bundles, Graduate Texts in Math. 20, Springer (1994) MR1249482
20	K Jänich, On invariants with the Novikov additive property, Math. Ann. 184 (1969) 65 MR0253360
21	F Kirwan, On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles, Ark. Mat. 24 (1986) 221 MR884188
22	W Lück, A Ranicki, Surgery obstructions of fibre bundles, J. Pure Appl. Algebra 81 (1992) 139 MR1176019
23	I Madsen, U Tillmann, The stable mapping class group and $Q(\mathbb C \mathrm{P}^\infty_+)$, Invent. Math. 145 (2001) 509 MR1856399
24	I Madsen, M Weiss, The stable moduli space of Riemann surfaces: Mumford's conjecture, Ann. of Math. $(2)$ 165 (2007) 843 MR2335797
25	W Meyer, Die Signatur von Faserbündeln und lokalen Koeffizientensystemen, Bonner Math. Schriften 53 (1972)
26	E Y Miller, The homology of the mapping class group, J. Differential Geom. 24 (1986) 1 MR857372
27	J W Milnor, J D Stasheff, Characteristic classes, Annals of Math. Studies 76, Princeton Univ. Press (1974) MR0440554
28	S Morita, Characteristic classes of surface bundles, Invent. Math. 90 (1987) 551 MR914849
29	S Morita, Geometry of characteristic classes, Transl. of Math. Monogr. 199, Amer. Math. Soc. (2001) MR1826571
30	D Mumford, Towards an enumerative geometry of the moduli space of curves, from: "Arithmetic and geometry, Vol. II" (editors M Artin, J Tate), Progr. Math. 36, Birkhäuser (1983) 271 MR717614
31	M Nakaoka, Homology of the infinite symmetric group, Ann. of Math. $(2)$ 73 (1961) 229 MR0131874
32	W D Neumann, Fibering over the circle within a bordism class, Math. Ann. 192 (1971) 191 MR0287554
33	G Segal, The topology of spaces of rational functions, Acta Math. 143 (1979) 39 MR533892
34	R Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954) 17 MR0061823
35	M Vigué-Poirrier, D Sullivan, The homology theory of the closed geodesic problem, J. Differential Geometry 11 (1976) 633 MR0455028