Asymptotic properties of MMM-classes
Algebraic Topology
2015-09-09 v1 Group Theory
Geometric Topology
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
Keywords
Cite
@article{arxiv.1509.02362,
title = {Asymptotic properties of MMM-classes},
author = {Jonathan Bowden},
journal= {arXiv preprint arXiv:1509.02362},
year = {2015}
}
Comments
13 pages; To appear in Geometry, Dynamics, and Foliations 2013