% This is an example bibliography file for FPSAC submissions.




@article {CGGLSS,
    AUTHOR = {Casals, Roger and Gorsky, Eugene and Gorsky, Mikhail and Le,
              Ian and Shen, Linhui and Simental, Jos\'e},
     TITLE = {Cluster structures on braid varieties},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {38},
      YEAR = {2025},
    NUMBER = {2},
     PAGES = {369--479},
   MRCLASS = {13F60 (14M15 20F36)},
  MRNUMBER = {4868947},
       DOI = {10.1090/jams/1048},
}



@article {KLS,
    AUTHOR = {Knutson, Allen and Lam, Thomas and Speyer, David E.},
     TITLE = {Positroid varieties: juggling and geometry},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {149},
      YEAR = {2013},
    NUMBER = {10},
     PAGES = {1710--1752},
   MRCLASS = {14M15 (05B35 05E05)},
  MRNUMBER = {3123307},
MRREVIEWER = {Jacopo\ Gandini},
       DOI = {10.1112/S0010437X13007240},
}

@article {EL21,
    AUTHOR = {Elek, Bal\'azs and Lu, Jiang-Hua},
     TITLE = {Bott-{S}amelson varieties and {P}oisson {O}re extensions},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2021},
    NUMBER = {14},
     PAGES = {10745--10797},
   MRCLASS = {22E46 (14M15 17B63 20F55)},
  MRNUMBER = {4285734},
MRREVIEWER = {William\ M.\ McGovern},
       DOI = {10.1093/imrn/rnz127},
}

@article {FZcluster,
    AUTHOR = {Fomin, Sergey and Zelevinsky, Andrei},
     TITLE = {Cluster algebras. {I}. {F}oundations},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {15},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {497--529},
   MRCLASS = {16S99 (14M99 17B99)},
  MRNUMBER = {1887642},
MRREVIEWER = {Eric\ N.\ Sommers},
       DOI = {10.1090/S0894-0347-01-00385-X},
}

@misc{CGGS,
    AUTHOR = {Casals, Roger and Gorsky, Eugene and Gorsky, Mikhail and
              Simental, Jos\'e},
     TITLE = {Algebraic weaves and braid varieties},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {146},
      YEAR = {2024},
    NUMBER = {6},
     PAGES = {1469--1576},
   MRCLASS = {14R25 (57K10 57K33)},
  MRNUMBER = {4855860},
}

@misc{GKSS-positroid,
    AUTHOR = {Gorsky, Eugene and Kim, Soyeon and Scroggin, Tonie and Simental, Jos{\'e}} ,
      EPRINT={2503.04923},
      EPRINTTYPE = {arXiv},
      TITLE={Splicing skew shaped positroids},
      YEAR = {2025}
}

@misc{GKSS-dbs,
    AUTHOR = {Gorsky, Eugene and Kim, Soyeon and Scroggin, Tonie and Simental, Jos{\'e}} ,
      EPRINT={2505.08211},
      eprinttype = {arXiv},
      TITLE={Splicing braid varieties},
      year = {2025}
}



@misc{CGSS,
      AUTHOR = {Castronovo, Marco and Gorsky, Mikhail and Simental, Jos{\'e} and Speyer, David E},
      EPRINT = {2402.16970},
  EPRINTTYPE = {arXiv},
       TITLE = {Cluster deep loci and mirror symmetry},
        YEAR = {2024}}






@misc{GS,
      AUTHOR = {Gorsky, Eugene and Scroggin, Tonie},
      EPRINT = {2405.15112},
  EPRINTTYPE = {arXiv},
       TITLE = {Splicing positroid varieties},
        YEAR = {2024}}



@article {SW,
    AUTHOR = {Shen, Linhui and Weng, Daping},
     TITLE = {Cluster structures on double {B}ott-{S}amelson cells},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {9},
      YEAR = {2021},
     PAGES = {Paper No. e66, 89},
       DOI = {10.1017/fms.2021.59},
}



@misc{Trin21,
      AUTHOR = {Trinh, Minh-T{\^a}m Quang},
      EPRINT = {2106.07444},
  EPRINTTYPE = {arXiv},
       TITLE = {From the Hecke category to the unipotent locus},
        YEAR = {2021}}





@article {GY06,
    AUTHOR = {Goodearl, K. R. and Yakimov, M. T.},
     TITLE = {Cluster algebra structures on {P}oisson nilpotent algebras},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {290},
      YEAR = {2023},
    NUMBER = {1445},
     PAGES = {v+100},
   MRCLASS = {13F60 (17B37 17B63)},
  MRNUMBER = {4664284},
MRREVIEWER = {Jianrong\ Li},
       DOI = {10.1090/memo/1445},
}




@article {GL19,
    AUTHOR = {Galashin, Pavel and Lam, Thomas},
     TITLE = {Positroid varieties and cluster algebras},
   JOURNAL = {Ann. Sci. \'Ec. Norm. Sup\'er. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
              Quatri\`eme S\'erie},
    VOLUME = {56},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {859--884},
       DOI = {10.24033/asens.2545},
}

@article {SSBW19,
    AUTHOR = {Serhiyenko, K. and Sherman-Bennett, M. and Williams, L.},
     TITLE = {Cluster structures in {S}chubert varieties in the
              {G}rassmannian},
   JOURNAL = {Proc. Lond. Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {119},
      YEAR = {2019},
    NUMBER = {6},
     PAGES = {1694--1744},
   MRCLASS = {14M15 (05E14 05E16 13F60)},
  MRNUMBER = {4295518},
       DOI = {10.1112/plms.12281},
}



@misc{GLSBS22,
      AUTHOR = {Galashin, Pavel and Lam, Thomas and Sherman-Bennett, Melissa and Speyer, David},
      EPRINT = {2210.04778},
  EPRINTTYPE = {arXiv},
       TITLE = {Braid variety cluster structures, I: 3D plabic graphs},
        YEAR = {2022}}




@misc{CLSBW23,
      AUTHOR = {Casals, Roger and Le, Ian and Sherman-Bennett, Melissa and Weng, Daping},
      EPRINT = {2308.06184},
  EPRINTTYPE = {arXiv},
       TITLE = {Demazure weaves for reduced plabic graphs (with a proof that {M}uller-{S}peyer twist is {D}onaldson-{T}homas)},
        YEAR = {2023}}





@article{FSB22,
  title={Positroid cluster structures from relabeled plabic graphs},
  author={Fraser, Chris and Sherman-Bennett, Melissa},
  journal={Algebraic Combinatorics},
  volume={5},
  number={3},
  pages={469--513},
  year={2022}
}


@article {MS17,
    AUTHOR = {Muller, Greg and Speyer, David E.},
     TITLE = {The twist for positroid varieties},
   JOURNAL = {Proc. Lond. Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {115},
      YEAR = {2017},
    NUMBER = {5},
     PAGES = {1014--1071},
   MRCLASS = {14M15 (05C22 13F60)},
  MRNUMBER = {3733558},
MRREVIEWER = {Hoang\ Le\ Truong},
       DOI = {10.1112/plms.12056},
}

@article {scott,
    AUTHOR = {Scott, Jeanne},
     TITLE = {Grassmannians and cluster algebras},
   JOURNAL = {Proc. London Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {92},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {345--380},
       DOI = {10.1112/S0024611505015571},
}


@misc{eberhardt-stroppel,
      AUTHOR = {Rietsch, Konstanze and Williams, Lauren},
      EPRINT = {2310.09206},
  EPRINTTYPE = {arXiv},
       TITLE = {Standard {E}xtension {A}lgebras {I}: {P}erverse {S}heaves and {F}ukaya {C}alculus},
        YEAR = {2023}}



@article {Fraser,
    AUTHOR = {Fraser, Chris},
     TITLE = {Quasi-homomorphisms of cluster algebras},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {81},
      YEAR = {2016},
     PAGES = {40--77},
       DOI = {10.1016/j.aam.2016.06.005},
}

@article {LamSpeyerI,
    AUTHOR = {Lam, Thomas and Speyer, David E.},
     TITLE = {Cohomology of cluster varieties {I}: {L}ocally acyclic case},
   JOURNAL = {Algebra Number Theory},
  FJOURNAL = {Algebra \& Number Theory},
    VOLUME = {16},
      YEAR = {2022},
    NUMBER = {1},
     PAGES = {179--230},
       DOI = {10.2140/ant.2022.16.179},
}





@misc{RW24,
      AUTHOR = {Rietsch, Konstanze and Williams, Lauren},
      EPRINT = {2409.00734},
  EPRINTTYPE = {arXiv},
       TITLE = {A superpotential for {G}rassmannian {S}chubert varieties},
        YEAR = {2024}}


@incollection {FockGoncharov,
    AUTHOR = {Fock, V. V. and Goncharov, A. B.},
     TITLE = {Cluster {$\mathcal X$}-varieties, amalgamation, and
              {P}oisson-{L}ie groups},
 BOOKTITLE = {Algebraic geometry and number theory},
    SERIES = {Progr. Math.},
    VOLUME = {253},
     PAGES = {27--68},
 PUBLISHER = {Birkh\"auser Boston, Boston, MA},
      YEAR = {2006},
       DOI = {10.1007/978-0-8176-4532-8\_2},
}