---
abstract: 'We classify the Auslander-Reiten components of ${\ensuremath{\mathcal{K}^b(\operatorname{proj} \Lambda)}}$, where $\Lambda$ is a cluster tilted algebra of type $\widetilde{A}$. The main tool is the combinatoric description of the indecomposable complexes in ${\ensuremath{\mathcal{K}^b(\operatorname{proj} \Lambda)}}$ via homotopy strings and homotopy bands.'
address: |
    Institutt for matematiske fag\
    NTNU\
    7491 Trondheim\
    Norway
author:
- Kristin Krogh Arnesen
- Yvonne Grimeland
title: 'The Auslander-Reiten components of ${\ensuremath{\mathcal{K}^b(\operatorname{proj} \Lambda)}}$ for a cluster-tilted algebra of type $\widetilde{A}$'
---

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