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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| Veröffentlicht in: | Geometriae dedicata 2021-08, Vol.213 (1), p.107-119 |
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| container_title | Geometriae dedicata |
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| creator | Bucher, Michelle Campagnolo, Caterina |
| 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. |
| doi_str_mv | 10.1007/s10711-020-00570-2 |
| format | Article |
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| ispartof | Geometriae dedicata, 2021-08, Vol.213 (1), p.107-119 |
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| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Algebraic Geometry Convex and Discrete Geometry Differential Geometry Geometric Topology Hyperbolic Geometry Inequalities Mathematics Mathematics and Statistics Original Paper Projective Geometry Topology |
| title | Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic |
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