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arXiv · 1710.02119

A $\tau$-Tilting Approach to Dissections of Polygons

Vincent Pilaud·Pierre-Guy Plamondon·Salvatore Stella
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Abstract

We show that any accordion complex associated to a dissection of a convex polygon is isomorphic to the support $\tau$-tilting simplicial complex of an explicit finite dimensional algebra. To this end, we prove a property of some induced subcomplexes of support $\tau$-tilting simplicial complexes of finite dimensional algebras.

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BibTeXRIS

Vincent Pilaud, Pierre-Guy Plamondon, Salvatore Stella. 2017-10-05. A $\tau$-Tilting Approach to Dissections of Polygons. https://doi.org/10.3842/sigma.2018.045

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