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

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 covering...

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Detalles Bibliográficos
Autores principales: Bucher, Michelle, Campagnolo, Caterina
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2020
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550737/
https://www.ncbi.nlm.nih.gov/pubmed/34720240
http://dx.doi.org/10.1007/s10711-020-00570-2
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author Bucher, Michelle
Campagnolo, Caterina
author_facet Bucher, Michelle
Campagnolo, Caterina
author_sort Bucher, Michelle
collection PubMed
description 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.
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spelling pubmed-85507372021-10-29 Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic Bucher, Michelle Campagnolo, Caterina Geom Dedic Original Paper 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. Springer Netherlands 2020-11-24 2021 /pmc/articles/PMC8550737/ /pubmed/34720240 http://dx.doi.org/10.1007/s10711-020-00570-2 Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Bucher, Michelle
Campagnolo, Caterina
Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
title Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
title_full Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
title_fullStr Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
title_full_unstemmed Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
title_short Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
title_sort surface bundles over surfaces: new inequalities between signature, simplicial volume and euler characteristic
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550737/
https://www.ncbi.nlm.nih.gov/pubmed/34720240
http://dx.doi.org/10.1007/s10711-020-00570-2
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