On a cluster category of type $D_{\infty }$

Abstract

We study the canonical orbit category of the bounded derived category of finite dimensional representations of the quiver of type $D_{\infty }$. We prove that this orbit category is a cluster category, that is, its cluster-tilting subcategories form a cluster structure as defined in [\ref{BIRS}].

21 pages, 5 figures. arXiv admin note: text overlap with arXiv:1505.06062 by other authors