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Simplicial volume with \(\mathbb {F}_p\)-coefficients

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Abstract

For primes p, we investigate an \(\mathbb {F}_p\)-version of simplicial volume and compare these invariants with their siblings over other coefficient rings. We will also consider the associated gradient invariants, obtained by stabilisation along finite coverings. Throughout, we will discuss the relation between such simplicial volumes and Betti numbers.

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Acknowledgements

I am grateful to the anonymous referee for carefully reading the manuscript.

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  1. Fakultät für Mathematik, Universität Regensburg, 93040, Regensburg, Germany

    Clara Löh

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  1. Clara Löh
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Correspondence to Clara Löh.

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This work was supported by the CRC 1085 Higher Invariants (Universität Regensburg, Funded by the DFG).

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Löh, C. Simplicial volume with \(\mathbb {F}_p\)-coefficients. Period Math Hung 80, 38–58 (2020). https://doi.org/10.1007/s10998-019-00298-x

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