Polynomial relations among kappa classes on the moduli space of curves

Maxim Kazarian; Paul Norbury

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arXiv · 2112.11672

Polynomial relations among kappa classes on the moduli space of curves

Maxim Kazarian·Paul Norbury

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Abstract

We construct an infinite collection of universal -- independent of $(g,n)$ -- polynomials in the Miller-Morita-Mumford classes $\kappa_m\in H^{2m}( \overline{\cal M}_{g,n},\bq)$, defined over the moduli space of genus $g$ stable curves with $n$ labeled points. We conjecture vanishing of these polynomials in a range depending on $g$ and $n$.

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Maxim Kazarian, Paul Norbury. 2021-12-22. Polynomial relations among kappa classes on the moduli space of curves. https://arxiv.org/abs/2112.11672

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