Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
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 nonzero signature.
 Publication:

arXiv eprints
 Pub Date:
 May 2016
 DOI:
 10.48550/arXiv.1605.03226
 arXiv:
 arXiv:1605.03226
 Bibcode:
 2016arXiv160503226B
 Keywords:

 Mathematics  Geometric Topology;
 55R10;
 57R22
 EPrint:
 14 pages. Simplified the proof of Proposition 1.2. This is the final version, accepted in Geometriae Dedicata