Algebraic & Geometric Topology Volume 8, issue 3 (2008)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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A class function on the mapping class group of an orientable surface and the Meyer cocycle

Masatoshi Sato

Algebraic & Geometric Topology 8 (2008) 1647–1665

DOI: 10.2140/agt.2008.8.1647

Bibliography

1	M Atiyah, The logarithm of the Dedekind $\eta$–function, Math. Ann. 278 (1987) 335 MR909232
2	H Endo, Meyer's signature cocycle and hyperelliptic fibrations, Math. Ann. 316 (2000) 237 MR1741270
3	J L Harer, The second homology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983) 221 MR700769
4	J L Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. $(2)$ 121 (1985) 215 MR786348
5	S Iida, Adiabatic limit of $\eta$–invariants and the Meyer function of genus two, dissertation, University of Tokyo (2004)
6	R Kasagawa, On a function on the mapping class group of a surface of genus 2, Topology Appl. 102 (2000) 219 MR1745445
7	N Kawazumi, A generalization of the Morita–Mumford classes to extended mapping class groups for surfaces, Invent. Math. 131 (1998) 137 MR1489896
8	M Korkmaz, A I Stipsicz, The second homology groups of mapping class groups of oriented surfaces, Math. Proc. Cambridge Philos. Soc. 134 (2003) 479 MR1981213
9	W Meyer, Die Signatur von Flächenbündeln, Math. Ann. 201 (1973) 239 MR0331382
10	J W Milnor, J D Stasheff, Characteristic classes, Annals of Mathematics Studies 76, Princeton University Press (1974) MR0440554
11	T Morifuji, On Meyer's function of hyperelliptic mapping class groups, J. Math. Soc. Japan 55 (2003) 117 MR1939188
12	J Powell, Two theorems on the mapping class group of a surface, Proc. Amer. Math. Soc. 68 (1978) 347 MR0494115
13	C T C Wall, Non-additivity of the signature, Invent. Math. 7 (1969) 269 MR0246311