A Caldero–Chapoton map for infinite clusters
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Publication:4915130
DOI10.1090/S0002-9947-2012-05464-XzbMath1271.13044arXiv1004.1343MaRDI QIDQ4915130
Publication date: 16 April 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.1343
\(K\)-theoryindexGrassmannian\(\mathrm{SL}_2\)-tilingcluster categorycluster structurecluster tilting subcategoryFomin-Zelevinsky mutationcoindexCalabi-Yau reductioncluster mapDynkin type \(A_\infty\)exchange pairexchange triangle
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Related Items (8)
All \(\operatorname{SL}_{2}\)-tilings come from infinite triangulations ⋮ Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object. II. ⋮ Grothendieck groups of \(d\)-exangulated categories and a modified Caldero-Chapoton map ⋮ Cluster categories of type \({\mathbb {A}}_\infty ^\infty \) and triangulations of the infinite strip ⋮ \(c\)-vectors of 2-Calabi-Yau categories and Borel subalgebras of \(\mathfrak{sl}_\infty \) ⋮ Infinite friezes ⋮ Triangulated categories with cluster tilting subcategories ⋮ Generalized friezes and a modified Caldero–Chapoton map depending on a rigid object
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