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 ramified coverings. These are among the main known examples of bundles with non-zero signature.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 08.2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 0046-5755, 1572-9168 KITopen-ID: 1000137652 |
| Erschienen in | Geometriae dedicata |
| Verlag | Springer |
| Band | 213 |
| Heft | 1 |
| Seiten | 107–119 |
| Vorab online veröffentlicht am | 24.11.2020 |
| Nachgewiesen in | Dimensions Web of Science Scopus |