Relations among tautological classes revisited

TL;DR

This paper revisits and generalizes Morita's theorem to establish numerous new relations among tautological classes on moduli spaces of curves, enhancing understanding of their algebraic structure.

Contribution

It introduces a simplified generalization of Morita's theorem, leading to many new relations among tautological classes on moduli spaces of curves.

Findings

Derived numerous new relations among tautological classes.

Simplified the proof of existing relations.

Enhanced understanding of the algebraic structure of moduli spaces.

Abstract

We give a simple generalisation of a theorem of Morita, which leads to a great number of relations among tautological classes on moduli spaces of curves.