Algebraic & Geometric Topology Volume 18, issue 4 (2018)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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The number of fiberings of a surface bundle over a surface

Lei Chen

Algebraic & Geometric Topology 18 (2018) 2245–2263

DOI: 10.2140/agt.2018.18.2245

Bibliography

1	M F Atiyah, The signature of fibre-bundles, from: "Global analysis (Papers in honor of K Kodaira)" (editors D C Spencer, S Iyanaga), Univ. Tokyo Press (1969) 73 MR0254864
2	G E Bredon, Introduction to compact transformation groups, 46, Academic Press (1972) MR0413144
3	L Chen, The universal n–pointed surface bundle only has n sections, J. Topol. Anal. (2017)
4	B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
5	F E A Johnson, A rigidity theorem for group extensions, Arch. Math. 73 (1999) 81 MR1703674
6	K Kodaira, A certain type of irregular algebraic surfaces, J. Analyse Math. 19 (1967) 207 MR0216521
7	J W Milnor, J D Stasheff, Characteristic classes, 76, Princeton Univ. Press (1974) MR0440554
8	S Morita, Geometry of characteristic classes, 199, Amer. Math. Soc. (2001) MR1826571
9	N Salter, Cup products, the Johnson homomorphism and surface bundles over surfaces with multiple fiberings, Algebr. Geom. Topol. 15 (2015) 3613 MR3450773
10	N Salter, Surface bundles over surfaces with arbitrarily many fiberings, Geom. Topol. 19 (2015) 2901 MR3416116
11	W P Thurston, A norm for the homology of 3–manifolds, Mem. Amer. Math. Soc. 339, Amer. Math. Soc. (1986) 99 MR823443