@article{FP16,
   author = {Sergey Fomin and Pavlo Pylyavskyy},
   journal = {Adv. Math.},
   fjournal = {Advances in Mathematics},
   keywords = {Cluster algebra, Invariant theory, Tensor diagram, Web basis},
   pages = {717-787},
   publisher = {Academic Press},
   title = {Tensor diagrams and cluster algebras},
   volume = {300},
   year = {2016},
doi={https://doi.org/10.1016/j.aim.2016.03.030}
}

@article{lam2015dimers,
  title={Dimers, webs, and positroids},
  author={Lam, Thomas},
journal = {J. Lond. Math. Soc.},
  fjournal={Journal of the London Mathematical Society},
  volume={92},
  number={3},
  pages={633--656},
  year={2015},
  publisher={Oxford University Press},
doi={https://doi.org/10.48550/arXiv.1404.3317}
}

@article{FLL19,
    AUTHOR = {Chris Fraser and Thomas Lam and Ian Le},
     TITLE = {From dimers to webs},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {371},
      YEAR = {2019},
    NUMBER = {9},
     pages = {6087–6124},
doi={https://doi.org/10.1090/tran/7641 }
}

@article{EMW23,
   author = {Moriah Elkin and Gregg Musiker and Kayla Wright},
     TITLE = {Twists of {${\rm Gr}(3,n)$} cluster variables as double and
              triple dimer partition functions},
   JOURNAL = {Algebr. Comb.},
  volume={7},
  number={5},
  pages={1347--1404},
  year={2024},
doi={10.5802/alco.376}
}
 

@misc{casals2023demazure,
  title={Demazure weaves for reduced plabic graphs (with a proof that Muller-Speyer twist is Donaldson-Thomas)},
  author={Casals, Roger and Le, Ian and Sherman-Bennett, Melissa and Weng, Daping},
    archivePrefix={arXiv},
    eprint = {2305.15531v2},
  year={2023}}
 url ={https://arxiv.org/abs/2308.06184},


@article{kung1984invariant,
  title={The invariant theory of binary forms},
  author={Kung, Joseph PS and Rota, Gian-Carlo},
journal = {Bull. Amer. Math. Soc.},
  fjournal={Bulletin of the American Mathematical Society},
  volume={10},
  number={1},
  pages={27--85},
  year={1984}
}

@article{fraser20,
    AUTHOR = {Fraser, Chris},
     TITLE = {Braid group symmetries of Grassmannian cluster algebras},
   JOURNAL = {Sel. Math. New Ser.},
    VOLUME = {26},
      YEAR = {2020},
    NUMBER = {17},
       DOI = {10.1007/s00029-020-0542-3}}

@article {fraser23,
    AUTHOR = {Fraser, Chris},
     TITLE = {Webs and canonical bases in degree two},
   JOURNAL = {Comb. Theory},
  FJOURNAL = {Combinatorial Theory},
    VOLUME = {3},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {Paper No. 11, 26},
   MRCLASS = {14M15 (05E10 20C30)},
  MRNUMBER = {4683618},
doi={https://doi.org/10.5070/C63362794}
}

Advances in Theoretical and Mathematical Physics, Vol. 27, No. 3 (2023).

@article {CDHHHL22,
    title = {Clustering Cluster Algebras with Clusters}, 
    author = {Man-Wai Cheung and Pierre-Philippe Dechant and Yang-Hui He and Elli Heyes and Edward Hirst and Jian-Rong Li},
   JOURNAL = {Adv. Theor. Math. Phys.},
  FJOURNAL = {Advances in Theoretical and Mathematical Physics},
    VOLUME = {27},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {797--828},
       DOI = {10.4310/atmp.2023.v27.n3.a5},
       }

@misc{GPPSS24,
      title={Rotation-invariant web bases from hourglass plabic graphs}, 
      author={Christian Gaetz and Oliver Pechenik and Stephan Pfannerer and Jessica Striker and Joshua P. Swanson},
      year={2024},
      eprint={2306.12501},
      eprinttype={arXiv}} 


@misc{postnikov2006total,
  title={Total positivity, Grassmannians, and networks},
  author={Postnikov, Alexander},
  archivePrefix={arXiv},
    eprint={0609764},
      primaryClass={math.CO},
  year={2006}} 


@article{marsh2016twists,
  title={Twists of Pl{\"u}cker coordinates as dimer partition functions},
  author={Marsh, Bethany R and Scott, Jeanne S},
journal = {Comm. Math. Phys.},
  fjournal={Communications in Mathematical Physics},
  volume={341},
  number={3},
  pages={821--884},
  year={2016},
  publisher={Springer},
doi={https://doi.org/10.1007/s00220-015-2493-7}
}

@article{muller2017twist,
  title={The twist for positroid varieties},
  author={Muller, Greg and Speyer, David E},
  journal={Proc. London Math. Soc.},
  volume={115},
  number={5},
  pages={1014--1071},
  year={2017},
  publisher={Wiley Online Library},
doi={
https://doi.org/10.1112/plms.12056
}
}

@article{scott06,
    author = {Scott, J.},
    title = {Grassmannians and Cluster Algebras},
    journal = {Proc. London Math. Soc.},
    volume = {92},
    number = {2},
    pages = {345-380},
   year = {2006},
    doi = {https://doi.org/10.1112/S0024611505015571}}
    %url = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024611505015571},
    abstract = {This paper follows the program of study initiated by S. Fomin and A. Zelevinsky, and demonstrates that the homogeneous coordinate ring of the Grassmannian G(k, n) is a cluster algebra of geometric type. Those Grassmannians that are of finite cluster type are identified and their cluster variables are interpreted geometrically in terms of configurations of points in C P2. 2000 Mathematics Subject Classification 22E46, 05Exx.},
 


@article{BFZ,
  title={Cluster algebras III: Upper bounds and double Bruhat cells},
  author={Berenstein, Arkady and Fomin, Sergey and Zelevinsky, Andrei},
  journal={Duke Math. J.},
  volume={126},
  number={1},
  pages={1--52},
  year={2005},
doi={https://doi.org/10.1215/S0012-7094-04-12611-9}
}

@misc{LY24,
      title={Cluster Categorification of Rank 2 Webs}, 
      author={Ian Le and Emine Y{\i}ld{\i}r{\i}m},
      year={2024},
      eprint={2402.14501},
      archivePrefix={arXiv},
      primaryClass={math.RT}}
      %url={https://arxiv.org/abs/2402.14501} 


@article{JKS16,
    author = {Jensen, Bernt Tore and King, Alastair D. and Su, Xiuping},
    title = {A categorification of Grassmannian cluster algebras},
    journal = {Proc. London Math. Soc.},
    volume = {113},
    number = {2},
    pages = {185-212},
    doi = {https://doi.org/10.1112/plms/pdw028}}
    %url = {https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms/pdw028},
    abstract = {We describe a ring whose category of Cohen–Macaulay modules provides an additive categorification of the cluster algebra structure on the homogeneous coordinate ring of the Grassmannian of k-planes in n-space. More precisely, there is a cluster character defined on the category which maps the rigid indecomposable objects to the cluster variables and the maximal rigid objects to clusters. This is proved by showing that the quotient of this category by a single projective–injective object is Geiss–Leclerc–Schröer's category Sub Qk, which categorifies the coordinate ring of the big cell in this Grassmannian.},
    year = {2016}

@article {CKM,
    AUTHOR = {Cautis, Sabin and Kamnitzer, Joel and Morrison, Scott},
     TITLE = {Webs and quantum skew {H}owe duality},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {360},
      YEAR = {2014},
    NUMBER = {1-2},
     PAGES = {351--390},
   MRCLASS = {17B37 (17B10 17B20)},
  MRNUMBER = {3263166},
MRREVIEWER = {Iwan\ Praton},
       DOI = {10.1007/s00208-013-0984-4},
       URL = {https://doi.org/10.1007/s00208-013-0984-4},
}

@article{kup96,
    AUTHOR = {Kuperberg, Greg},
     TITLE = {Spiders for rank 2 Lie algebras},
   JOURNAL = {Commun. Math. Phys.},
    VOLUME = {180},
      YEAR = {1996},
     PAGES = {109–151},
       DOI = {10.1007/BF02101184}}

@unpublished{baur2024correspondence,
  title={A correspondence between additive and monoidal categorifications with application to Grassmannian cluster categories},
  author={Baur, Karin and Fu, Changjian and Li, Jian-rong},
archiveprefix={arXiv},
eprint={2410.04401},
  year={2024}
}

@article{petersen2009promotion,
  title={Promotion and cyclic sieving via webs},
  author={Petersen, T Kyle and Pylyavskyy, Pavlo and Rhoades, Brendon},
journal={J. Algebraic Combin.},
  fjournal={Journal of Algebraic Combinatorics},
  volume={30},
  pages={19--41},
  year={2009},
  publisher={Springer},
doi={https://doi.org/10.1007/s10801-008-0150-3}
}

@article{patrias2023tableau,
  title={Tableau evacuation and webs},
  author={Patrias, Rebecca and Pechenik, Oliver},
journal = {Proc. Amer. Math. Soc. Ser. B },
fjournal={Proceedings of the American Mathematical Society, Series B},
  volume={10},
  number={30},
  pages={341--352},
  year={2023},
doi={
https://doi.org/10.1090/bproc/191}
}


@article{KK99,
    AUTHOR = {Khovanov, Mikhail and Kuperberg, Greg},
     TITLE = {Web bases for $sl(3)$ are not dual canonical},
   JOURNAL = {Pacific J. Math.},
    VOLUME = {188},
    number = {1},
      YEAR = {1999},
     PAGES = {129–153},
doi={10.1016/j.jalgebra.2014.02.036},
}


@article{Tym12,
    AUTHOR = {Tymoczko, Julianna},
     TITLE = {A simple bijection between standard $3\times n$ tableaux and irreducible webs for $sl_3$},
   JOURNAL = {J. Algebraic Combin.},
    VOLUME = {35},
      YEAR = {2012},
     PAGES = {611–632},
       DOI = {10.1007/s10801-011-0317-1}}


@article{FZ02,
    AUTHOR = {Sergey Fomin and Andrei Zelevinsky},
     TITLE = {Cluster algebras. I. Foundations},
   JOURNAL = {J. Amer. Math. Soc.},
    VOLUME = {15},
      YEAR = {2002},
     PAGES = {497–529},
       DOI = {10.1090/S0894-0347-01-00385-X}}