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math.AG2021
Polynomial relations among kappa classes on the moduli space of curves
Maxim Kazarian, Paul Norbury
We construct an infinite collection of universal -- independent of -- polynomials in the Miller-Morita-Mumford classes $κ_m\in H^{2m}( \overline{\cal M}_{g,n},\bq)$, define…
math.AG2021★ 5 cited
An intersection-theoretic proof of the Harer-Zagier formula
Alessandro Giacchetto, Danilo Lewański, Paul Norbury
We provide an intersection-theoretic formula for the Euler characteristic of the moduli space of smooth curves. This formula reads purely in terms of Hodge integrals and, as a coro…