The $RO(C_{2^n})$-graded homotopy of $H\underline{\mathbb{F}_2}$

TL;DR

This paper provides an explicit formula for the $RO(C_{2^n})$-graded homotopy groups of the equivariant Eilenberg-Mac Lane spectrum $H_2$, advancing understanding in equivariant stable homotopy theory.

Contribution

It introduces a precise formula for the $RO(C_{2^n})$-graded homotopy groups of $H_2$, a key object in equivariant homotopy theory.

Findings

Explicit formula for $RO(C_{2^n})$-graded homotopy groups

Enhanced computational tools for equivariant spectra

Deeper insight into $C_{2^n}$-equivariant homotopy theory

Abstract

We give an explicit formula for the $RO(C_{2^n})$-graded homotopy of $H\underline{\mathbb{F}_2}$.