Non-trivial and Non-tautological Cohomology of Strata of Differentials

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Hauptverfasser: Chen, Dawei, Devkota, Prabhat, Grushevsky, Samuel, Möller, Martin
Format: Preprint
Veröffentlicht: 2026
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author Chen, Dawei
Devkota, Prabhat
Grushevsky, Samuel
Möller, Martin
author_facet Chen, Dawei
Devkota, Prabhat
Grushevsky, Samuel
Möller, Martin
contents In this paper we construct various non-trivial and non-tautological cohomology classes on compactified and uncompactified strata of curves with a differential, by using the geometry of the boundary stratification of the moduli space of multi-scale differentials.
format Preprint
id arxiv_https___arxiv_org_abs_2602_22353
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Non-trivial and Non-tautological Cohomology of Strata of Differentials
Chen, Dawei
Devkota, Prabhat
Grushevsky, Samuel
Möller, Martin
Algebraic Geometry
Geometric Topology
14H10, 30F30
In this paper we construct various non-trivial and non-tautological cohomology classes on compactified and uncompactified strata of curves with a differential, by using the geometry of the boundary stratification of the moduli space of multi-scale differentials.
title Non-trivial and Non-tautological Cohomology of Strata of Differentials
topic Algebraic Geometry
Geometric Topology
14H10, 30F30
url https://arxiv.org/abs/2602.22353