$Y$ -meshes and generalized pentagram maps

Autor: Max Glick, Pavlo Pylyavskyy
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.2520
Popis: We introduce a rich family of generalizations of the pentagram map sharing the property that each generates an infinite configuration of points and lines with four points on each line. These systems all have a description as $Y$ -mutations in a cluster algebra and hence establish new connections between cluster theory and projective geometry.
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