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
Information
Published: 1 January 2017
First available in Project Euclid: 4 October 2018
zbMATH: 1393.55009
MathSciNet: MR3726716
Digital Object Identifier: 10.2969/aspm/07210283
Subjects:
Primary:
55R22
Secondary:
20F69
,
43A07
,
57R19
Keywords:
bounded cohomology
,
characteristic classes
,
mapping class groups
,
simplicial volume
Rights: Copyright © 2017 Mathematical Society of Japan
