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Journal Articles Geometriae Dedicata Year : 2020

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

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Michelle Bucher
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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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Dates and versions

ensl-03049128 , version 1 (09-12-2020)

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