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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.
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-03049128
Contributor : Caterina Campagnolo Connect in order to contact the contributor
Submitted on : Wednesday, December 9, 2020 - 4:54:00 PM
Last modification on : Thursday, December 17, 2020 - 3:33:35 AM
Long-term archiving on: : Wednesday, March 10, 2021 - 7:47:56 PM

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Michelle Bucher, Caterina Campagnolo. Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic. Geometriae Dedicata, Springer Verlag, 2020, ⟨10.1007/s10711-020-00570-2⟩. ⟨ensl-03049128⟩

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