A new spin on polynomial relations among kappa classes

Open Access
Authors
  • A. Alexandrov
  • B. Bychkov
  • P. Dunin-Barkowski
  • M. Kazarian
Publication date 07-2026
Journal International Mathematics Research Notices
Article number rnag146
Volume | Issue number 2026 | 14
Number of pages 21
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z2 -equivariant topological recursion.
Document type Article
Language English
Published at
https://doi.org/10.1093/imrn/rnag146 (Final published version)
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