@article{1a9fde0c39de485b9cd783da429358cd,
title = "Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A∞",
abstract = "We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A ∞ . ",
keywords = "Cyclically ordered set, Fountain, Infinite polygon, Leapfrog, Ptolemy condition, Ptolemy diagram, Triangulation",
author = "S. Gratz and T. Holm and Peter J{\o}rgensen",
note = "Funding Information: We thank Charles Paquette, Adam-Christiaan van Roosmalen, and Bin Zhu for illuminating comments on a preliminary version, and the referee for a careful reading and several useful suggestions which have improved the presentation. This project was supported by grant HO 1880/5-1 under the research priority programme SPP 1388 ?Darstellungstheorie? of the DFG, and by grant EP/P016014/1 ?Higher Dimensional Homological Algebra? from the EPSRC.",
year = "2019",
month = jun,
day = "1",
doi = "10.1007/s00209-018-2117-y",
language = "English",
volume = "292",
pages = "33--56",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "1-2",
}