## Glick, Max and Pylyavskyy, Pavlo - $Y$ -meshes and generalized pentagram maps

dmtcs:2520 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
$Y$ -meshes and generalized pentagram maps

Authors: Glick, Max and Pylyavskyy, Pavlo

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.

Source : oai:HAL:hal-01337830v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Submitted on: November 21, 2016
Keywords: pentagram map,discrete dynamical systems,cluster algebras,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]