A new spin on polynomial relations among kappa classes
Algebraic Geometry
2025-09-03 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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 -equivariant topological recursion.
Cite
@article{arxiv.2508.17865,
title = {A new spin on polynomial relations among kappa classes},
author = {Alexander Alexandrov and Boris Bychkov and Petr Dunin-Barkowski and Maxim Kazarian and Sergey Shadrin},
journal= {arXiv preprint arXiv:2508.17865},
year = {2025}
}
Comments
19 pages; several corrections and clarifications