# The Adams spectral sequence for 3-local $\mathrm{tmf}$

## TL;DR

This paper computes the homotopy groups of 3-local tmf using the Adams spectral sequence, providing detailed algebraic topology calculations relevant to stable homotopy theory.

## Contribution

It presents the first detailed computation of the homotopy groups of 3-local tmf via the Adams spectral sequence, filling a gap in the understanding of tmf at prime 3.

## Key findings

- Homotopy groups of 3-local tmf computed
- Explicit Adams spectral sequence differentials identified
- Results contribute to stable homotopy theory at prime 3

## Abstract

The purpose of this short article is to record the computation of the homotopy groups of 3-local $\mathrm{tmf}$ via the Adams spectral sequence.