Signature of surface bundles and bounded cohomology
Geometric Topology
2020-11-12 v1
Abstract
Extending a result of Morita, we show that all tautological classes of the moduli space of genus g curves are bounded. As an application, we obtain that for a surface bundle over a closed surface, the Eulder characteristic and the signature are related by .
Keywords
Cite
@article{arxiv.2011.05792,
title = {Signature of surface bundles and bounded cohomology},
author = {Ursula Hamenstädt},
journal= {arXiv preprint arXiv:2011.05792},
year = {2020}
}
Comments
26 pages