Home > Research > Publications & Outputs > Deformed cluster maps of type A_2N

Electronic data

  • 2402.18310

    Accepted author manuscript, 1.9 MB, PDF document

    Available under license: None

Links

View graph of relations

Deformed cluster maps of type A_2N

Research output: Contribution to Journal/MagazineJournal article

Published
<mark>Journal publication date</mark>28/02/2024
<mark>Journal</mark>arxiv.org
Number of pages40
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We extend recent work of the third author and Kouloukas by constructing deformations of integrable cluster maps corresponding to the Dynkin types A_2N, lifting these to higher-dimensional maps possessing the Laurent property and demonstrating integrality of the deformations for N≤3. This provides the first infinite class of examples (in arbitrarily high rank) of such maps and gives information on the associated discrete integrable systems. Key to our approach is a ``local expansion'' operation on quivers which allows us to construct and study mutations in type A_2N from those in type A_2(N−1).