The motivic structures LS12 and S16 in the cohomology of moduli spaces of curves

Abstract. We study the appearances of LS12 and S16 in the weight-graded compactly supported cohomology of moduli spaces of curves. As applications, we prove new nonvanishing results for the middle cohomology groups of M9 and M11 and give evidence to support the conjecture that dimQ H2g+kc(Mg) grows at least exponentially with g for almost all k.

Publication Details

Journal
Repository for Publications and Research Data (ETH Zurich)
Published
2024-11-19
DOI
https://doi.org/10.3929/ethz-b-000706764
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00
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article

The motivic structures LS12 and S16 in the cohomology of moduli spaces of curves

Repository for Publications and Research Data (ETH Zurich)
Geometry and complex manifolds
article

The motivic structures LS12 and S16 in the cohomology of moduli spaces of curves

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Abstract

Abstract. We study the appearances of LS12 and S16 in the weight-graded compactly supported cohomology of moduli spaces of curves. As applications, we prove new nonvanishing results for the middle cohomology groups of M9 and M11 and give evidence to support the conjecture that dimQ H2g+kc(Mg) grows at least exponentially with g for almost all k.

Repository for Publications and Research Data (ETH Zurich)
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Geometry and complex manifolds
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The motivic structures LS12 and S16 in the cohomology of moduli spaces of curves · Repository for Publications and Research Data (ETH Zurich) (2024) | TGRS Research Map | TGRS