Max Glick ; Pavlo Pylyavskyy - $Y$ -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) - https://doi.org/10.46298/dmtcs.2520
$Y$ -meshes and generalized pentagram maps

Authors: Max Glick 1; Pavlo Pylyavskyy 1

  • 1 School of Mathematics

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.

https://doi.org/10.46298/dmtcs.2520
Source: 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
Imported on: November 21, 2016
Keywords: pentagram map,discrete dynamical systems,cluster algebras,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Licence: Attribution 4.0 International (CC BY 4.0)
Funding:
    Source : OpenAIRE Graph
  • RTG in Combinatorics; Funder: National Science Foundation; Code: 1148634
  • PostDoctoral Research Fellowship; Funder: National Science Foundation; Code: 1303482
  • Some questions in total positivity and cluster algebras; Funder: National Science Foundation; Code: 1068169
  • CAREER: Algebraic Combinatorics and URE; Funder: National Science Foundation; Code: 1351590

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo ARXIV 1804.03737
Source : ScholeXplorer IsRelatedTo DOI 10.1098/rsta.2017.0430
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1804.03737
Source : ScholeXplorer IsRelatedTo HANDLE 2117/116354
Source : ScholeXplorer IsRelatedTo HANDLE 2117/121227
Source : ScholeXplorer IsRelatedTo PMC PMC6158379
Source : ScholeXplorer IsRelatedTo PMID 30224421
  • 10.48550/arxiv.1804.03737
  • 1804.03737
  • 2117/121227
  • 2117/116354
  • 30224421
  • PMC6158379
  • PMC6158379
  • 30224421
  • 10.1098/rsta.2017.0430
  • 10.1098/rsta.2017.0430
Open Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems

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