@book{Bourbaki2002,
  author    = {Bourbaki, Nicolas},
  title     = {Lie Groups and Lie Algebras: Chapters 4--6},
  series    = {Elements of Mathematics},
  publisher = {Springer-Verlag},
  address   = {Berlin},
  year      = {2002},
  note      = {English translation of the 1968 French original},
  url       = {https://link.springer.com/book/9783540691716}
}

@phdthesis{VanDerLek1983,
  author = {van der Lek, Harm},
  title  = {The Homotopy Type of Complex Hyperplane Complements},
  school = {Katholieke Universiteit te Nijmegen},
  year   = {1983}
}

@article{Deligne1972,
  author  = {Deligne, Pierre},
  title   = {Les immeubles des groupes de tresses g{\'e}n{\'e}ralis{\'e}s},
  journal = {Inventiones Mathematicae},
  volume  = {17},
  number  = {4},
  pages   = {273--302},
  year    = {1972},
  doi     = {10.1007/BF01406236},
  url     = {https://publications.ias.edu/sites/default/files/Number18.pdf}
}

@article{BrieskornSaito1972,
  author  = {Brieskorn, Egbert and Saito, Kyoji},
  title   = {{Artin-Gruppen und Coxeter-Gruppen}},
  journal = {Inventiones Mathematicae},
  volume  = {17},
  number  = {4},
  pages   = {245--271},
  year    = {1972},
  doi     = {10.1007/BF01406235},
  url     = {https://link.springer.com/article/10.1007/BF01406235}
}

@incollection{Quillen1973,
  author    = {Quillen, Daniel},
  title     = {Higher algebraic {K}-theory: {I}},
  booktitle = {Algebraic {K}-Theory {I}: Higher {K}-Theories},
  editor    = {Bass, Hyman},
  series    = {Lecture Notes in Mathematics},
  volume    = {341},
  publisher = {Springer-Verlag},
  address   = {Berlin},
  pages     = {85--147},
  year      = {1973},
  doi       = {10.1007/BFb0067053},
  url       = {https://link.springer.com/chapter/10.1007/BFb0067053}
}

@incollection{BBD1982,
  author    = {Be{\u\i}linson, A. A. and Bernstein, Joseph and Deligne, Pierre},
  title     = {Faisceaux pervers},
  booktitle = {Analyse et topologie sur les espaces singuliers, {I}},
  series    = {Ast{\'e}risque},
  volume    = {100},
  publisher = {Soci{\'e}t{\'e} Math{\'e}matique de France},
  address   = {Paris},
  pages     = {5--171},
  year      = {1982},
  url       = {https://publications.ias.edu/sites/default/files/Faisceaux%20pervers.pdf}
}

@article{Salvetti1987,
  author  = {Salvetti, Mario},
  title   = {Topology of the complement of real hyperplanes in {$\mathbb{C}^{N}$}},
  journal = {Inventiones Mathematicae},
  volume  = {88},
  number  = {3},
  pages   = {603--618},
  year    = {1987},
  doi     = {10.1007/BF01391833},
  url     = {https://link.springer.com/article/10.1007/BF01391833}
}

@article{Salvetti1994,
  author  = {Salvetti, Mario},
  title   = {The homotopy type of {Artin} groups},
  journal = {Mathematical Research Letters},
  volume  = {1},
  number  = {5},
  pages   = {565--577},
  year    = {1994},
  doi     = {10.4310/MRL.1994.v1.n5.a5},
  url     = {https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/1994/0001/0005/MRL-1994-0001-0005-a005.pdf}
}

@article{GodelleParis2012,
  author  = {Godelle, Eddy and Paris, Luis},
  title   = {{$K(\pi,1)$} and word problems for infinite type {Artin--Tits}
             groups, and applications to virtual braid groups},
  journal = {Mathematische Zeitschrift},
  volume  = {272},
  number  = {3--4},
  pages   = {1339--1364},
  year    = {2012},
  doi     = {10.1007/s00209-012-0989-9},
  eprint  = {1007.1365},
  archivePrefix = {arXiv},
  url     = {https://link.springer.com/article/10.1007/s00209-012-0989-9}
}

@article{Paolini2026,
  author  = {Paolini, Giovanni},
  title   = {The {$K(\pi,1)$} conjecture for {Artin} groups of spherical type},
  journal = {Winter Braids Lecture Notes},
  volume  = {9},
  pages   = {1--11},
  year    = {2023},
  note    = {Winter Braids XII, Talk 3. Published online 29 June 2026;
             also arXiv:2607.24659v1},
  doi     = {10.5802/wbln.44},
  eprint  = {2607.24659},
  archivePrefix = {arXiv},
  url     = {https://proceedings.centre-mersenne.org/articles/10.5802/wbln.44/}
}

@misc{Huang2026,
  author = {Huang, Jingyin},
  title  = {{Bestvina} metric and tree reduction for {$K(\pi,1)$}-conjecture},
  year   = {2026},
  note   = {arXiv:2602.17982v1},
  eprint = {2602.17982},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  doi    = {10.48550/arXiv.2602.17982},
  url    = {https://arxiv.org/abs/2602.17982v1}
}

@misc{HengLicata2024,
  author = {Heng, Edmund and Licata, Anthony M.},
  title  = {Stability conditions and {Artin--Tits} groups},
  year   = {2024},
  note   = {arXiv:2412.15919v1},
  eprint = {2412.15919},
  archivePrefix = {arXiv},
  primaryClass = {math.RT},
  doi    = {10.48550/arXiv.2412.15919},
  url    = {https://arxiv.org/abs/2412.15919v1}
}

@article{BravThomas2011,
  author  = {Brav, Christopher and Thomas, Hugh},
  title   = {Braid groups and {Kleinian} singularities},
  journal = {Mathematische Annalen},
  volume  = {351},
  number  = {4},
  pages   = {1005--1017},
  year    = {2011},
  note    = {Preprint version consulted: arXiv:0910.2521v3},
  doi     = {10.1007/s00208-010-0627-y},
  eprint  = {0910.2521},
  archivePrefix = {arXiv},
  url     = {https://link.springer.com/article/10.1007/s00208-010-0627-y}
}

@article{HuerfanoKhovanov2001,
  author = {Huerfano, Ruth Stella and Khovanov, Mikhail},
  title = {A category for the adjoint representation},
  journal = {Journal of Algebra},
  volume = {246},
  number = {2},
  pages = {514--542},
  year = {2001},
  doi = {10.1006/jabr.2001.8962},
  eprint = {math/0002060},
  archivePrefix = {arXiv},
  primaryClass = {math.QA},
  note = {Preprint version consulted: arXiv:math/0002060v2},
  url = {https://doi.org/10.1006/jabr.2001.8962}
}

@article{KhovanovSeidel2002,
  author = {Khovanov, Mikhail and Seidel, Paul},
  title = {Quivers, {Floer} cohomology, and braid group actions},
  journal = {Journal of the American Mathematical Society},
  volume = {15},
  number = {1},
  pages = {203--271},
  year = {2002},
  doi = {10.1090/S0894-0347-01-00374-5},
  eprint = {math/0006056},
  archivePrefix = {arXiv},
  primaryClass = {math.QA},
  note = {Preprint version consulted: arXiv:math/0006056v2},
  url = {https://doi.org/10.1090/S0894-0347-01-00374-5}
}

@article{SeidelThomas2001,
  author = {Seidel, Paul and Thomas, Richard},
  title = {Braid group actions on derived categories of coherent sheaves},
  journal = {Duke Mathematical Journal},
  volume = {108},
  number = {1},
  pages = {37--108},
  year = {2001},
  doi = {10.1215/S0012-7094-01-10812-0},
  eprint = {math/0001043},
  archivePrefix = {arXiv},
  primaryClass = {math.AG},
  note = {Preprint version consulted: arXiv:math/0001043v2},
  url = {https://doi.org/10.1215/S0012-7094-01-10812-0}
}

@misc{Chen2014,
  author = {Chen, Joshua},
  title = {The {Temperley--Lieb} categories and skein modules},
  year = {2014},
  note = {B.Sc. Honours thesis, Australian National University},
  eprint = {1502.06845},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1502.06845v1}
}
@article{BarrettWestbury1999,
  author = {Barrett, John W. and Westbury, Bruce W.},
  title = {Spherical categories},
  journal = {Advances in Mathematics},
  volume = {143},
  number = {2},
  pages = {357--375},
  year = {1999},
  doi = {10.1006/aima.1998.1800},
  eprint = {hep-th/9310164},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/hep-th/9310164v2}
}

@article{Wenzl1987,
  author = {Wenzl, Hans},
  title = {On sequences of projections},
  journal = {Comptes rendus math{\'e}matiques de l'Acad{\'e}mie des sciences du Canada},
  volume = {9},
  number = {1},
  pages = {5--9},
  year = {1987},
  url = {https://mathreports.ca/article/on-sequences-of-projections/}
}

@article{CharneyDavis1995,
  author = {Charney, Ruth and Davis, Michael W.},
  title = {The {$K(\pi,1)$}-problem for hyperplane complements associated to infinite reflection groups},
  journal = {Journal of the American Mathematical Society},
  volume = {8},
  number = {3},
  pages = {597--627},
  year = {1995},
  doi = {10.1090/S0894-0347-1995-1303028-9},
  url = {https://people.math.osu.edu/davis.12/papers/Jams-jstor.pdf}
}

@article{PaoliniSalvetti2021,
  author = {Paolini, Giovanni and Salvetti, Mario},
  title = {Proof of the {$K(\pi,1)$} conjecture for affine {Artin} groups},
  journal = {Inventiones Mathematicae},
  volume = {224},
  number = {2},
  pages = {487--572},
  year = {2021},
  doi = {10.1007/s00222-020-01016-y},
  eprint = {1907.11795},
  archivePrefix = {arXiv},
  url = {https://doi.org/10.1007/s00222-020-01016-y}
}

@misc{HodaHuang2026,
  author = {Hoda, Nima and Huang, Jingyin},
  title = {From Trees to Tripods: Proof of {$K(\pi,1)$} for {Artin} groups with {ABI}-type spherical parabolics},
  year = {2026},
  note = {arXiv:2602.17983v1},
  eprint = {2602.17983},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  doi = {10.48550/arXiv.2602.17983},
  url = {https://arxiv.org/abs/2602.17983v1}
}

@misc{HuangPrzytycki2025,
  author = {Huang, Jingyin and Przytycki, Piotr},
  title = {{353}-combinatorial curvature and the {$3$}-dimensional {$K(\pi,1)$} conjecture},
  year = {2025},
  note = {arXiv:2509.06914v1},
  eprint = {2509.06914},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  doi = {10.48550/arXiv.2509.06914},
  url = {https://arxiv.org/abs/2509.06914v1}
}

@incollection{Brieskorn1973,
  author = {Brieskorn, Egbert},
  title = {Sur les groupes de tresses [d'apr\`es {V. I. Arnol'd}]},
  booktitle = {S\'eminaire Bourbaki, vol. 1971/72, expos\'es 400--417},
  series = {Lecture Notes in Mathematics},
  volume = {317},
  pages = {21--44},
  year = {1973},
  publisher = {Springer-Verlag},
  note = {Expos\'e no. 401, November 1971},
  url = {https://www.numdam.org/item/SB_1971-1972__14__21_0/}
}

@article{FoxNeuwirth1962,
  author = {Fox, Ralph H. and Neuwirth, Lee},
  title = {The braid groups},
  journal = {Mathematica Scandinavica},
  volume = {10},
  pages = {119--126},
  year = {1962},
  doi = {10.7146/math.scand.a-10518},
  url = {https://doi.org/10.7146/math.scand.a-10518}
}

@article{McCammondSulway2017,
  author = {McCammond, Jon and Sulway, Robert},
  title = {{Artin} groups of {Euclidean} type},
  journal = {Inventiones Mathematicae},
  volume = {210},
  pages = {231--282},
  year = {2017},
  doi = {10.1007/s00222-017-0728-2},
  url = {https://link.springer.com/article/10.1007/s00222-017-0728-2}
}

@article{BaumannKamnitzerTingley2014,
  author = {Baumann, Pierre and Kamnitzer, Joel and Tingley, Peter},
  title = {Affine {Mirkovi\'c--Vilonen} polytopes},
  journal = {Publications Math\'ematiques de l'IH\'ES},
  volume = {120},
  pages = {113--205},
  year = {2014},
  doi = {10.1007/s10240-013-0057-y},
  url = {https://www.numdam.org/item/PMIHES_2014__120__113_0/}
}

@article{CrawleyBoevey2000,
  author = {Crawley-Boevey, William},
  title = {On the exceptional fibres of {Kleinian} singularities},
  journal = {American Journal of Mathematics},
  volume = {122},
  number = {5},
  pages = {1027--1037},
  year = {2000},
  doi = {10.1353/ajm.2000.0036},
  url = {https://doi.org/10.1353/ajm.2000.0036}
}

@article{JankiewiczSchreve2022,
  author = {Jankiewicz, Kasia and Schreve, Kevin},
  title = {The {$K(\pi,1)$}-conjecture implies the center conjecture for {Artin} groups},
  journal = {Journal of Algebra},
  volume = {615},
  pages = {455--463},
  year = {2023},
  note = {Preprint version consulted: arXiv:2201.06591v1},
  eprint = {2201.06591},
  archivePrefix = {arXiv},
  primaryClass = {math.GR},
  doi = {10.1016/j.jalgebra.2022.10.024},
  url = {https://arxiv.org/abs/2201.06591v1}
}

@article{Dobrinskaya2002,
  author = {Dobrinskaya, Natalia E.},
  title = {The {Arnol'd--Thom--Pham} conjecture and the classifying space of a positive {Artin} monoid},
  journal = {Russian Mathematical Surveys},
  volume = {57},
  number = {6},
  pages = {1215--1217},
  year = {2002},
  doi = {10.1070/RM2002v057n06ABEH000582},
  url = {https://www.mathnet.ru/eng/rm582}
}

@article{Ozornova2013,
  author = {Ozornova, Viktoriya},
  title = {Discrete {Morse} theory and a reformulation of the {$K(\pi,1)$}-conjecture},
  journal = {Communications in Algebra},
  volume = {45},
  number = {4},
  pages = {1760--1784},
  year = {2017},
  note = {Preprint version consulted: arXiv:1309.1337v2},
  eprint = {1309.1337},
  archivePrefix = {arXiv},
  primaryClass = {math.AT},
  doi = {10.1080/00927872.2016.1226852},
  url = {https://arxiv.org/abs/1309.1337v2}
}

@article{Boyd2020,
  author = {Boyd, Rachael},
  title = {Homological stability for {Artin} monoids},
  journal = {Proceedings of the London Mathematical Society},
  volume = {121},
  number = {3},
  pages = {537--583},
  year = {2020},
  note = {Preprint version consulted: arXiv:1808.07722v2},
  eprint = {1808.07722},
  archivePrefix = {arXiv},
  primaryClass = {math.AT},
  doi = {10.1112/plms.12335},
  url = {https://arxiv.org/abs/1808.07722v2}
}
