Work

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

Year: 2024

Type: preprint

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.

Source: Repository for Publications and Research Data (ETH Zurich)

DOI: 10.3929/ethz-b-000706764

Authors: Canning, Samir, Larson, Hannah, Payne, Sam, Willwacher, Thomas

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6966500986

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