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Bibliographic Details
Main Authors: Banaian, Esther, Sen, Archan
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2210.07366
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Table of Contents:
  • We explore a generalization of the Markov numbers that is motivated by a specific generalized cluster algebra arising from an orbifold, in the sense of Chekhov and Shapiro. We give an explicit algorithm for computing these generalized Markov numbers and exhibit several patterns analogous to those that appear within the ordinary Markov numbers. Along the way, we present formulas related to continued fractions and snake graphs.