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arXiv · 2510.23280

A geometric model for the non-homogeneous tubes of the cluster category of affine type D

Amandine Favre
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Abstract

In this article, we give a geometric model for non-homogeneous tubes of the cluster category of the affine type $D$. This model is given in terms of homotopy classes of unoriented arcs in the twice punctured disk. In particular, we extend the geometric model for the tube of rank $n-2$ given in arXiv:2407.11232 to the two tubes of rank $2$.

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Amandine Favre. 2025-11-11. A geometric model for the non-homogeneous tubes of the cluster category of affine type D. https://arxiv.org/abs/2510.23280

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