The equivariant Milnor-Witt motive of $\overline{\mathcal{M}}_{1,2}$

TL;DR

This paper decomposes the equivariant Milnor-Witt motives associated with the moduli space of stable curves ,2, advancing understanding in algebraic geometry and motivic homotopy theory.

Contribution

It introduces a novel decomposition of equivariant Milnor-Witt motives for ,2 moduli spaces, providing new insights into their structure.

Findings

Decomposition of equivariant Milnor-Witt motives achieved

Enhanced understanding of the motivic structure of ,2 moduli space

Potential applications in algebraic geometry and motivic homotopy theory

Abstract

We provide a decomposition of the equivariant Milnor-Witt motives for the moduli spaces of stable curves $\overline{\mathcal{M}}_{1,2}$.