Y -meshes and generalized pentagram maps

Max Glick; Pavlo Pylyavskyy

Y -meshes and generalized pentagram maps

Max Glick, Pavlo Pylyavskyy

School of Mathematics

Research output: Contribution to journal › Conference article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	169-180
Number of pages	12
Journal	Discrete Mathematics and Theoretical Computer Science
State	Published - 2015
Event	27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015 - Daejeon, Korea, Republic of Duration: Jul 6 2015 → Jul 10 2015

Bibliographical note

Publisher Copyright:
© 2015 Discrete Mathematics and Theoretical Computer Science (DMTCS), Nancy, France

Keywords

Cluster algebras
Discrete dynamical systems
Pentagram map

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abstract = "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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AU - Pylyavskyy, Pavlo

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AB - 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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KW - Discrete dynamical systems

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M3 - Conference article

AN - SCOPUS:85082983210

SN - 1462-7264

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EP - 180

JO - Discrete Mathematics and Theoretical Computer Science

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T2 - 27th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2015

Y2 - 6 July 2015 through 10 July 2015

ER -

Y -meshes and generalized pentagram maps

Abstract

Bibliographical note

Keywords

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