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

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Dawei Chen, Prabhat Devkota, Samuel Grushevsky, Martin Möller
DOI: 10.48550/arxiv.2602.22353
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometric and Algebraic Topology Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
arXiv (Cornell University)
Publication date
25 February 2026
Language
EN
Document type
Preprint