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arXiv · 1509.02362

Asymptotic properties of MMM-classes

Jonathan Bowden
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Abstract

We study geometric properties of characteristic classes of surfaces bundles. In particular, we show that oriented surface bundles over bases with amenable fundamental groups and dimension at least 2 have trivial simplicial volume. We show furthermore that all MMM-classes are hyperbolic in the sense of Gromov, verifying a weakened version of a conjecture due to Morita. Finally we consider surface bundles over products and restrictions on their characteristic classes

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Jonathan Bowden. 2015-09-08. Asymptotic properties of MMM-classes. https://arxiv.org/abs/1509.02362

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