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A. Sauvaget

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Preprint Sep 2026

Euler characteristics of strata of $k$-differentials

We compute the orbifold Euler characteristics of strata of $k$-differentials on the moduli space of smooth pointed curves. Our main result is a closed coefficient-extraction formula in terms of hyperbolic functions, valid for arbitrary strata and generalizing the Harer--Zagier formula for the Euler characteristic of th...

Matteo Costantini, A. Giacchetto, Martin Moller et al. · 0 citations

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