Geodesic
A $\tau$-Tilting Approach to Dissections of Polygons
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: dissections of polygons; accordion complexes; $\tau$-tilting theory; representations of finite dimensional algebras; $\mathbf{g}$-vectors. 
@article{SIGMA_2018_14_a44,
     author = {Vincent Pilaud and Pierre-Guy Plamondon and Salvatore Stella},
     title = {A $\tau${-Tilting} {Approach} to {Dissections} of {Polygons}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2018},
     volume = {14},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a44/}
}
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Vincent Pilaud; Pierre-Guy Plamondon; Salvatore Stella. A $\tau$-Tilting Approach to Dissections of Polygons. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a44/

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