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September 22, 2026
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Polynomial Relations Among Kappa Classes on the Moduli Space of Curves

International Mathematics Research Notices. 2024. Vol. 2024. No. 3. P. 1825–1867.
Kazaryan M., Norbury P.

We construct an infinite collection of universal—independent of (g,n)—polynomials in the Miller–Morita–Mumford classes κm ∈ H2m(Mg,n, Q), 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.

Research target: Mathematics
Language: English
Full text
DOI
Keywords: пространства модулейmoduli spacestautological ring
Publication based on the results of:
Combinatorial facets of geometry of functional spaces (2024)
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