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@article{BPS,
  title={BPS Quivers and Spectra of Complete N=2 Quantum Field Theories},
  author={Alim, Murad and Cecotti, Sergio and C{\'o}rdova, Clay and Espahbodi, Sam and Rastogi, Ashwin and Vafa, Cumrun},
  journal={Communications in Mathematical Physics},
  volume={323},
  number={3},
  pages={1185--1227},
  year={2013},
  publisher={Springer}
}

@article{BFZ2,
  title={Cluster algebras III: Upper bounds and double Bruhat cells},
  author={Berenstein, Arkady and Fomin, Sergey and Zelevinsky, Andrei and others},
  journal={Duke Mathematical Journal},
  volume={126},
  number={1},
  pages={1--52},
  year={2005},
  publisher={Duke University Press}
}

@article{BK2,
  title={Geometric and unipotent crystals II: from unipotent bicrystals to crystal bases},
  author={Berenstein, Arkady and Kazhdan, David},
  eprint={math/0601391},
  eprinttype={arXiv},
  year={2006}
}

@article{BDP,
  title={On maximal green sequences},
  author={Br{\"u}stle, Thomas and Dupont, Gr{\'e}goire and P{\'e}rotin, Matthieu},
  journal={International Mathematics Research Notices},
  volume={2014},
  number={16},
  pages={4547--4586},
  year={2014},
  publisher={OUP}
}

@article{DWZ,
  title={Quivers with potentials and their representations II: applications to cluster algebras},
  author={Derksen, Harm and Weyman, Jerzy and Zelevinsky, Andrei},
  journal={Journal of the American Mathematical Society},
  volume={23},
  number={3},
  pages={749--790},
  year={2010}
}


@inproceedings{FG,
  title={Cluster ensembles, quantization and the dilogarithm},
  author={Fock, Vladimir V and Goncharov, Alexander B},
  booktitle={Annales scientifiques de l'Ecole normale sup{\'e}rieure},
  volume={42},
  number={6},
  pages={865--930},
  year={2009}
}

@article{FZ,
  title={Cluster algebras I: foundations},
  author={Fomin, Sergey and Zelevinsky, Andrei},
  journal={Journal of the American Mathematical Society},
  volume={15},
  number={2},
  pages={497--529},
  year={2002}
}

@article{FZ2,
  title={Cluster algebras II: Finite type classification},
  author={Fomin, Sergey and Zelevinsky, Andrei},
  journal={Inventiones mathematicae},
  volume={154},
  number={1},
  pages={63--121},
  year={2003},
  publisher={Springer}
}

@article{GMN,
  title={Wall-crossing, Hitchin systems, and the WKB approximation},
  author={Gaiotto, Davide and Moore, Gregory W and Neitzke, Andrew},
  journal={Advances in Mathematics},
  volume={234},
  pages={239--403},
  year={2013},
  publisher={Elsevier}
}


@article{GLS,
  title={Kac–Moody groups and cluster algebras},
  author={Geiß, Christof and Leclerc, Bernard and Schröer, Jan},
  journal={Advances in Mathematics},
  volume={228},
  pages={329--433},
  year={2011},
  publisher={Elsevier}
}



@article{GKS4,
  title={Polyhedral parametrizations of canonical bases \& cluster duality},
  author={Genz, Volker and Koshevoy, Gleb and Schumann, Bea},
  journal={Advances in Mathematics},
  volume={369},
  pages={107178},
  year={2020},
  publisher={Elsevier}
}

@article{GY,
  title={The Berenstein-Zelevinsky quantum cluster algebra conjecture},
  author={Goodearl, Kenneth R and Yakimov, MT},
  journal={Journal of the European Mathematical Society},
  volume={22},
  year={2020},
  DOI = {10.4171/JEMS/969}
}


@article{GHKK,
  title={Canonical bases for cluster algebras},
  author={Gross, Mark and Hacking, Paul and Keel, Sean and Kontsevich, Maxim},
  journal={Journal of the American Mathematical Society},
  volume={31},
  number={2},
  pages={497--608},
  year={2018}
}


@article{IIO,
  title={Cluster realizations of Weyl groups and higher Teichm\"uller theory},
  author={Inoue, Rei and Ishibashi, Tsukasa and Oya, Hironori},
  journal={Selecta Mathematica},
  volume={27},
  year={2021},
  DOI = {10.1007/s00029-021-00630-9}
}

@inproceedings{Ke1,
  title={On cluster theory and quantum dilogarithm identities},
  author={Keller, Bernhard},
  booktitle={Representations of algebras and related topics},
  pages={85--116},
  year={2011},
  organization={European Mathematical Society Z{\"u}rich}
}


@inproceedings{Ke3,
  title={Cluster algebras and derived categories},
  author={Keller, Bernhard},
  booktitle={Derived categories in algebraic geometry},
  pages={123--183},
  year={2013},
  organization={European Mathematical Society Z{\"u}rich}
}

@article{Ke2,
  title={The periodicity conjecture for pairs of Dynkin diagrams},
  author={Keller, Bernhard},
  journal={Annals of Mathematics},
  pages={111--170},
  year={2013},
  publisher={JSTOR}
}

@article{Ke,
  title={A survey on maximal green sequences},
  author={Demonet, Laurent and Keller, Bernhard},
  eprint={1904.09247},
  eprinttype={arXiv},
  year={2019}
}

@article{KS,
  title={Stability structures, motivic Donaldson-Thomas invariants and cluster transformations},
  author={Kontsevich, Maxim and Soibelman, Yan},
  eprint={0811.2435},
  eprinttype={arXiv},
  year={2008}
}

@article{M,
  title={Fock-Goncharov conjecture and polyhedral cones for $U\subset SL_n$ and base affine space $SL_n/U$},
  author={Magee, Timothy},
  eprint={1502.03769},
  eprinttype={arXiv},
  year={2015}
}

@article{M2,
  title={Littlewood--Richardson coefficients via mirror symmetry for cluster varieties},
  author={Magee, Timothy},
  journal={Proceedings of the London Mathematical Society},
  volume={121},
  number={3},
  pages={463--512},
  year={2020},
  publisher={Wiley Online Library}
}


@article{Mu,
  title={The existence of a maximal green sequence is not invariant under quiver mutation},
  author={Muller, Greg},
  journal={The Electronic Journal of Combinatorics},
  volume={23},
  year={2016},
  DOI = {10.37236/5412}
}

@article{SW,
   title={Cluster Structures on Double Bott-Samelson Cells},
   author={Shen, Linhui and Weng, Daping},
   eprint={1904.07992},
   eprinttype={arXiv},
   year={2019}}


@article{greenwade93,
	Author = {George D. Greenwade},
	Date-Modified = {2016-08-11 21:04:25 +0000},
	Journal = {TUGBoat},
	Number = {3},
	Pages = {342--351},
	Title = {The {C}omprehensive {T}ex {A}rchive {N}etwork ({CTAN})},
	Url = {https://www.google.com},
	Volume = {14},
	Year = {1993},
	Bdsk-Url-1 = {https://www.google.com}}

@article{MR4,
AUTHOR = {Corliss, J. J.},
     TITLE = {Upper limits to the real roots of a real algebraic equation},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {46},
      YEAR = {1939},
     PAGES = {334--338},
      ISSN = {0002-9890},
   MRCLASS = {09.0X},
  MRNUMBER = {0000004},
MRREVIEWER = {O. Sz\'asz},
       DOI = {10.2307/2302887}}

@article{W,
  title={Donaldson-Thomas Transformation of Double Bruhat Cells in Semisimple Lie Groups}, 
  author={Weng, Daping},
  eprint={1611.04186},
  eprinttype={arXiv},
  year={2016}}