A τ-Tilting Approach to Dissections of Polygons

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dc.contributor.authorPilaud, V.
dc.contributor.authorPlamondon, P.-G.
dc.contributor.authorStella, S.
dc.date.accessioned2025-11-24T10:41:22Z
dc.date.issued2018
dc.description.abstractWe show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support τ-tilting simplicial complex of an explicit finite-dimensional algebra. To this end, we prove a property of some induced subcomplexes of support τ-tilting simplicial complexes of finite-dimensional algebras.
dc.description.sponsorshipWe are grateful to F. Chapoton for pointing out to us the isomorphism between the two graphs of Fig. 2, which gave us the motivation for the present note. We also thank R. Schiffler for his comments on a previous version. Finally, we are grateful to an anonymous referee for helpful suggestions on the presentation of this note. The first two authors are partially supported by the French ANR grant SC3A (15 CE40 0004 01). The last author is supported by the ISF grant 1144/16.
dc.identifier.citationA τ-Tilting Approach to Dissections of Polygons / V. Pilaud, P.-G. Plamondon, S. Stella // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 16 назв. — англ.
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2018.045
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 16G10; 16G20; 05E10
dc.identifier.otherarXiv: 1710.02119
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/209527
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleA τ-Tilting Approach to Dissections of Polygons
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2018, том 14, випуск за цей рік