@article{caldero_triangulated_2006,
	title = {From triangulated categories to cluster algebras {II}},
	volume = {39},
	doi = {10.1016/j.ansens.2006.09.003},
	number = {6},
	urldate = {2024-03-29},
	journal = {Annales Scientifiques de l'Ecole Normale Superieure},
	author = {Caldero, Philippe and Keller, Bernhard},
	month = nov,
	year = {2006},
	pages = {983--1009},
}

@misc{ervin_geometry_nodate,
	title = {Geometry of c-vectors and {C}-{Matrices} for {Mutation}-{Infinite} {Quivers}},
	author = {Ervin, Tucker J. and Jacskon, Blake and Lee, Kyungyong and Nguyen, Son Dang},
	note = {In Preparation},
}

@misc{fomin_long_2023,
	title = {Long mutation cycles},
	eprinttype = {arXiv},
	author = {Fomin, Sergey and Neville, Scott},
	month = apr,
	year = {2023},
	eprint = {2304.11505},
	keywords = {13F60, 05C20, Mathematics - Combinatorics},
}

@article{bessis_dual_2006,
	title = {A dual braid monoid for the free group},
	volume = {302},
	doi = {10.1016/j.jalgebra.2005.10.025},
	number = {1},
	urldate = {2023-11-07},
	journal = {Journal of Algebra},
	author = {Bessis, David},
	month = aug,
	year = {2006},
	pages = {55--69},
}

@misc{clements_mutation_2023,
	title = {Mutation {Classes} with {Finite} {Forkless} {Part}},
	author = {Clements, Ty and Ervin, Tucker J. and Lama, Sonam and Vikranth, Vishak},
	year = {2023},
	note = {In Preparation},
}

@incollection{nakanishi_tropical_2012,
	series = {Contemp. {Math}.},
	title = {On tropical dualities in cluster algebras},
	volume = {565},
	booktitle = {Algebraic groups and quantum groups},
	publisher = {Amer. Math. Soc., Providence, RI},
	author = {Nakanishi, Tomoki and Zelevinsky, Andrei},
	year = {2012},
	mrnumber = {2932428},
	doi = {10.1090/conm/565/11159},
	pages = {217--226},
}

@article{lee_geometric_2023,
	title = {Geometric description of {C}-vectors and real {L\"{o}sungen}},
	volume = {303},
	doi = {10.1007/s00209-022-03180-8},
	language = {en},
	number = {2},
	urldate = {2023-11-07},
	journal = {Mathematische Zeitschrift},
	author = {Lee, Kyu-Hwan and Lee, Kyungyong and Mills, Matthew R.},
	month = jan,
	year = {2023},
	pages = {44},
}

@article{beineke_cluster-cyclic_2011,
	title = {Cluster-{Cyclic} {Quivers} with {Three} {Vertices} and the {Markov} {Equation}},
	volume = {14},
	doi = {10.1007/s10468-009-9179-9},
	language = {en},
	number = {1},
	urldate = {2023-10-24},
	journal = {Algebras and Representation Theory},
	author = {Beineke, Andre and Br\"{u}stle, Thomas and Hille, Lutz},
	month = feb,
	year = {2011},
	keywords = {16G20, Braid group, Cluster algebras, Mutations},
	pages = {97--112},
}

@article{seven_cluster_2014,
	title = {Cluster algebras and symmetric matrices},
	volume = {143},
	doi = {10.1090/S0002-9939-2014-12252-0},
	language = {en},
	number = {2},
	urldate = {2023-09-19},
	journal = {Proceedings of the American Mathematical Society},
	author = {Seven, Ahmet I.},
	month = oct,
	year = {2014},
	pages = {469--478},
}

@article{lee_correspondence_2021,
	title = {A {Correspondence} between {Rigid} {Modules} {Over} {Path} {Algebras} and {Simple} {Curves} on {Riemann} {Surfaces}},
	volume = {30},
	doi = {10.1080/10586458.2018.1538910},
	number = {3},
	urldate = {2023-09-12},
	journal = {Experimental Mathematics},
	author = {Lee, Kyu-Hwan and Lee, Kyungyong},
	month = jul,
	year = {2021},
	keywords = {Riemann surface, quiver representation, real Schur root},
	pages = {315--331},
}

@article{seven_cluster_2010,
	title = {Cluster algebras and semipositive symmetrizable matrices},
	volume = {363},
	doi = {10.1090/S0002-9947-2010-05255-9},
	language = {en},
	number = {5},
	urldate = {2023-08-24},
	journal = {Transactions of the American Mathematical Society},
	author = {Seven, Ahmet},
	month = dec,
	year = {2010},
	pages = {2733--2762},
}

@article{warkentin_exchange_2014,
	title = {Exchange {Graphs} via {Quiver} {Mutation}},
	url = {https://d-nb.info/1214302807/34},
	language = {en},
	journal = {Dissertation},
	author = {Warkentin, Matthias},
	month = jan,
	year = {2014},
	pages = {103},
}

@incollection{speyer_acyclic_2013,
	address = {Berlin, Heidelberg},
	series = {Abel {Symposia}},
	title = {Acyclic {Cluster} {Algebras} {Revisited}},
	language = {en},
	urldate = {2023-06-06},
	booktitle = {Algebras, {Quivers} and {Representations}: {The} {Abel} {Symposium} 2011},
	publisher = {Springer},
	author = {Speyer, David and Thomas, Hugh},
	year = {2013},
	doi = {10.1007/978-3-642-39485-0_12},
	keywords = {Braid Diagram, Cluster Algebras, Exceptional Sequence, Gabriel Quiver, Zelevinsky},
	pages = {275--298},
}

@article{schofield_general_1992,
	title = {General {Representations} of {Quivers}},
	volume = {s3-65},
	copyright = {1992 London Mathematical Society},
	doi = {10.1112/plms/s3-65.1.46},
	language = {en},
	number = {1},
	urldate = {2023-06-06},
	journal = {Proceedings of the London Mathematical Society},
	author = {Schofield, Aidan},
	year = {1992},
	pages = {46--64},
}

@article{plamondon_cluster_2011,
	title = {Cluster algebras via cluster categories with infinite-dimensional morphism spaces},
	volume = {147},
	doi = {10.1112/S0010437X11005483},
	language = {en},
	number = {6},
	urldate = {2023-06-06},
	journal = {Compositio Mathematica},
	author = {Plamondon, Pierre-Guy},
	month = nov,
	year = {2011},
	note = {Publisher: London Mathematical Society},
	keywords = {18E30, cluster algebras, cluster categories, triangulated categories},
	pages = {1921--1954},
}

@article{nguyen_proof_2022,
	title = {A proof of {Lee}-{Lee}'s conjecture about geometry of rigid modules},
	volume = {611},
	doi = {10.1016/j.jalgebra.2022.08.015},
	language = {en},
	urldate = {2023-06-06},
	journal = {Journal of Algebra},
	author = {Nguyen, Son Dang},
	month = dec,
	year = {2022},
	keywords = {Cluster algebras, Quiver representations, Real Schur roots, Rigid modules},
	pages = {422--434},
}

@article{lin_two_2023,
	title = {Two {Formulas} for {F}-{Polynomials}},
	doi = {10.1093/imrn/rnad074},
	urldate = {2023-06-06},
	journal = {International Mathematics Research Notices},
	author = {Lin, Feiyang and Musiker, Gregg and Nakanishi, Tomoki},
	month = apr,
	year = {2023},
	pages = {rnad074},
}

@article{lee_combinatorial_2015,
	title = {A {Combinatorial} {Formula} for {Certain} {Elements} of {Upper} {Cluster} {Algebras}},
	volume = {11},
	doi = {10.3842/SIGMA.2015.049},
	language = {en},
	urldate = {2023-06-06},
	journal = {SIGMA. Symmetry, Integrability and Geometry: Methods and Applications},
	author = {Lee, Kyungyong and Li, Li and Mills, Matthew R.},
	month = jun,
	year = {2015},
	note = {Publisher: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications},
	pages = {049},
}

@article{igusa_exceptional_2010,
	title = {Exceptional sequences and clusters},
	volume = {323},
	doi = {10.1016/j.jalgebra.2010.02.003},
	language = {en},
	number = {8},
	urldate = {2023-06-06},
	journal = {Journal of Algebra},
	author = {Igusa, Kiyoshi and Schiffler, Ralf},
	month = apr,
	year = {2010},
	keywords = {Braid group, Cluster category, Cluster-tilting set, Dynkin quiver, Real Schur roots, Reflection groups},
	pages = {2183--2202},
}

@article{hubery_categorification_2016,
	title = {A categorification of non-crossing partitions},
	volume = {18},
	doi = {10.4171/jems/641},
	language = {en},
	number = {10},
	urldate = {2023-06-06},
	journal = {Journal of the European Mathematical Society},
	author = {Hubery, Andrew and Krause, Henning},
	month = sep,
	year = {2016},
	pages = {2273--2313},
}

@article{gross_canonical_2018,
	title = {Canonical bases for cluster algebras},
	volume = {31},
	doi = {10.1090/jams/890},
	language = {en},
	number = {2},
	urldate = {2023-06-06},
	journal = {Journal of the American Mathematical Society},
	author = {Gross, Mark and Hacking, Paul and Keel, Sean and Kontsevich, Maxim},
	month = apr,
	year = {2018},
	pages = {497--608},
}

@article{fomin_cluster_2007,
	title = {Cluster algebras {IV}: {Coefficients}},
	volume = {143},
	shorttitle = {Cluster algebras {IV}},
	doi = {10.1112/S0010437X06002521},
	language = {en},
	number = {1},
	urldate = {2023-06-06},
	journal = {Compositio Mathematica},
	author = {Fomin, Sergey and Zelevinsky, Andrei},
	month = jan,
	year = {2007},
	note = {Publisher: London Mathematical Society},
	pages = {112--164},
}

@article{fomin_cluster_2002,
	title = {Cluster algebras {I}: {Foundations}},
	volume = {15},
	shorttitle = {Cluster algebras {I}},
	doi = {10.1090/S0894-0347-01-00385-X},
	language = {en},
	number = {2},
	urldate = {2023-06-06},
	journal = {Journal of the American Mathematical Society},
	author = {Fomin, Sergey and Zelevinsky, Andrei},
	month = apr,
	year = {2002},
	keywords = {Cluster algebra, Laurent phenomenon, exchange pattern},
	pages = {497--529},
}

@article{feng_toric_2002,
	title = {Toric duality as {Seiberg} duality and brane diamonds},
	volume = {2001},
	doi = {10.1088/1126-6708/2001/12/035},
	language = {en},
	number = {12},
	urldate = {2023-06-06},
	journal = {Journal of High Energy Physics},
	author = {Feng, Bo and Hanany, Amihay and He, Yang-Hui and Uranga, Angel M.},
	month = jan,
	year = {2002},
	pages = {035},
}

@article{felikson_acyclic_2018,
	title = {Acyclic cluster algebras, reflection groups, and curves on a punctured disc},
	volume = {340},
	doi = {10.1016/j.aim.2018.10.020},
	language = {en},
	urldate = {2023-06-06},
	journal = {Advances in Mathematics},
	author = {Felikson, Anna and Tumarkin, Pavel},
	month = dec,
	year = {2018},
	keywords = {Acyclic cluster algebra, Orbifold, Punctured disc, Quiver, Real Schur root},
	pages = {855--882},
}

@article{derksen_quivers_2010,
	title = {Quivers with potentials and their representations {II}: {Applications} to cluster algebras},
	volume = {23},
	shorttitle = {Quivers with potentials and their representations {II}},
	doi = {10.1090/S0894-0347-10-00662-4},
	language = {en},
	number = {3},
	urldate = {2023-06-06},
	journal = {Journal of the American Mathematical Society},
	author = {Derksen, Harm and Weyman, Jerzy and Zelevinsky, Andrei},
	month = jul,
	year = {2010},
	pages = {749--790},
}

@article{derksen_quivers_2008,
	title = {Quivers with potentials and their representations {I}: {Mutations}},
	volume = {14},
	shorttitle = {Quivers with potentials and their representations {I}},
	doi = {10.1007/s00029-008-0057-9},
	language = {en},
	number = {1},
	urldate = {2023-06-06},
	journal = {Selecta Mathematica},
	author = {Derksen, Harm and Weyman, Jerzy and Zelevinsky, Andrei},
	month = oct,
	year = {2008},
	keywords = {Jacobian ideal, Primary 16G10, Quiver with relations, Secondary 16G20, 16S38, mutation, potential},
	pages = {59--119},
}

@article{chavez_c-vectors_2015,
	title = {On the c-{Vectors} of an {Acyclic} {Cluster} {Algebra}},
	volume = {2015},
	doi = {10.1093/imrn/rnt264},
	number = {6},
	urldate = {2023-06-06},
	journal = {International Mathematics Research Notices},
	author = {Ch\'{a}vez, Alfredo N\'{a}jera},
	month = jan,
	year = {2015},
	pages = {1590--1600},
}

@article{baumeister_note_2014,
	title = {A note on the transitive {Hurwitz} action on decompositions of parabolic {Coxeter} elements},
	volume = {1},
	doi = {10.1090/S2330-1511-2014-00017-1},
	language = {en},
	number = {13},
	urldate = {2023-06-06},
	journal = {Proceedings of the American Mathematical Society, Series B},
	author = {Baumeister, Barbara and Dyer, Matthew and Stump, Christian and Wegener, Patrick},
	month = dec,
	year = {2014},
	pages = {149--154},
}