Polynomial Relations among Kappa Classes on the Moduli Space of Curves

M Kazarian; P Norbury

Journal article

Polynomial Relations among Kappa Classes on the Moduli Space of Curves

M Kazarian, P Norbury

International Mathematics Research Notices | OXFORD UNIV PRESS | Published : 2024

DOI: 10.1093/imrn/rnad061

Open access

Abstract

We construct an infinite collection of universal - independent of - polynomials in the Miller-Morita-Mumford classes, defined over the moduli space of genus stable curves with labeled points. We conjecture vanishing of these polynomials in a range depending on and.

University of Melbourne Researchers

Paul Norbury Author

Related Projects (1)

Frobenius manifolds from a geometrical and categorical viewpoint

This project aims to provide connections between Frobenius manifolds obtained from algebraic curves in diverse ways. The different construct..

Grants

Awarded by Australian Research Council

Funding Acknowledgements

This work was supported by the International Laboratory of Cluster Geometry NRU HSE, RF Government grant, ag. No 075-15-2021-608 dated 08.06.2021 [to M.K.]; and the Australian Research Council Discovery Projects funding scheme project number DP180103891 [ to P.N.].