The homology of surface diffeomorphism groups and a question of Morita

Details The homology of surface diffeomorphism groups and a question of Morita The homology of surface diffeomorphism groups and a question of Morita

2011-02-21

arxiv.org/abs/1102.4283v1

Proc. Amer. Math. Soc. 140 (2012), 2543-2549

Mathematics

Geometric Topology

Scientific paper

We answer a question posed by Morita concerning the non-triviality of certain
secondary characteristic classes for surface bundles. In doing so we are
naturally led to show that a form of Harer stability holds for surface
diffeomorphism groups in homology of small degree.

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