Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
Geometric Topology
2020-12-03 v3
Abstract
We present three new inequalities tying the signature, the simplicial volume and the Euler characteristic of surface bundles over surfaces. Two of them are true for any surface bundle, while the third holds on a specific family of surface bundles, namely the ones that arise through a ramified covering. These are the main known examples of bundles with non-zero signature.
Keywords
Cite
@article{arxiv.1605.03226,
title = {Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic},
author = {Michelle Bucher and Caterina Campagnolo},
journal= {arXiv preprint arXiv:1605.03226},
year = {2020}
}
Comments
14 pages. Simplified the proof of Proposition 1.2. This is the final version, accepted in Geometriae Dedicata