% This is an example bibliography file for FPSAC submissions.

@article{BGKT,
    AUTHOR = {Bychkov, Boris and Gorbounov, Vassily and Kazakov, Anton and Talalaev,Dmitry},
     TITLE = {Electrical networks, Lagrangian Grassmannians, and
              symplectic groups},
   JOURNAL = {Mosc. Math. J.},
  FJOURNAL = {Moscow Mathematical Journal},
    VOLUME = {23},
      YEAR = {2023},
    NUMBER = {2},
     PAGES = {133--167},
MRREVIEWER = {Giovanni\ Moreno},
       DOI = {10.17323/1609-4514-2023-23-2-133-167}
}

@book {Brion,
    AUTHOR = {Brion, Michel and Kumar, Shrawan},
     TITLE = {Frobenius splitting methods in geometry and representation
              theory},
    SERIES = {Progress in Mathematics},
    VOLUME = {231},
 PUBLISHER = {{Birkh\"{a}user Boston, Inc., Boston, MA}},
      YEAR = {2005},
     PAGES = {x+250},
      ISBN = {0-8176-4191-2},
   MRCLASS = {14M15 (13A35 14C05 17B10 20G05)},
  MRNUMBER = {2107324},
MRREVIEWER = {Vikram\ B.\ Mehta},
}

@misc{CGS2021,
      title={Electrical networks and Lagrangian Grassmannians}, 
      author={Sunita Chepuri and Terrence George and David E Speyer},
      year={2021},
      eprint={2106.15418},
      eprinttype={arxiv} 
}

@article {CGV,
    AUTHOR = {Colin de Verdi\`ere, Yves and Gitler, Isidoro and Vertigan, Dirk},
     TITLE = {R\'eseaux \'electriques planaires. {II}},
   JOURNAL = {Comment. Math. Helv.},
  FJOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {71},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {144--167},
MRREVIEWER = {Martin\ \v Skoviera},
       DOI = {10.1007/BF02566413}
}

@article {CIM,
    AUTHOR = {Curtis, E. B. and Ingerman, D. and Morrow, J. A.},
     TITLE = {Circular planar graphs and resistor networks},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {283},
      YEAR = {1998},
    NUMBER = {1-3},
     PAGES = {115--150},
MRREVIEWER = {W.-K.\ Chen},
       DOI = {10.1016/S0024-3795(98)10087-3}
}

@article {GGMS,
    AUTHOR = {Gelfand, I. M. and Goresky, R. M. and MacPherson, R.
              D. and Serganova, V. V.},
     TITLE = {Combinatorial geometries, convex polyhedra, and {S}chubert
              cells},
   JOURNAL = {Adv. in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {63},
      YEAR = {1987},
    NUMBER = {3},
     PAGES = {301--316},
MRREVIEWER = {Hiroaki\ Terao},
       DOI = {10.1016/0001-8708(87)90059-4}
}

@article {KL,
    AUTHOR = {Kazhdan, David and Lusztig, George},
     TITLE = {Schubert varieties and {P}oincar\'e{} duality},
 BOOKTITLE = {Geometry of the {L}aplace operator ({P}roc. {S}ympos. {P}ure
              {M}ath., {U}niv. {H}awaii, {H}onolulu, {H}awaii, 1979)},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {XXXVI},
     PAGES = {185--203},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1980}
}

@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},
MRREVIEWER = {Jacopo\ Gandini},
       DOI = {10.1112/S0010437X13007240}
}

@misc{Knutson2009,
  title={Frobenius splitting, point-counting, and degeneration},
  author={Knutson, Allen},
  eprint={0911.4941},
  eprinttype={arxiv},
  year={2009}
}

@article{Lam2018,
    AUTHOR = {Lam, Thomas},
     TITLE = {Electroid varieties and a compactification of the space of
              electrical networks},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {338},
      YEAR = {2018},
     PAGES = {549--600},
       DOI = {10.1016/j.aim.2018.09.014}
}

@misc{P,
      AUTHOR = {Postnikov, Alexander},
      EPRINT = {0609764},
  EPRINTTYPE = {arxiv},
       TITLE = {Total positivity, Grassmannians, and networks},
        YEAR = {2006}
}

@article {R,
    AUTHOR = {Richardson, R. W.},
     TITLE = {Intersections of double cosets in algebraic groups},
   JOURNAL = {Indag. Math. (N.S.)},
  FJOURNAL = {Koninklijke Nederlandse Akademie van Wetenschappen.
              Indagationes Mathematicae. New Series},
    VOLUME = {3},
      YEAR = {1992},
    NUMBER = {1},
     PAGES = {69--77},
MRREVIEWER = {James\ E.\ Humphreys},
       DOI = {10.1016/0019-3577(92)90028-J}
}


@book{Lusztig_1994,
    AUTHOR = {Lusztig, G.},
     TITLE = {Total positivity in reductive groups},
 BOOKTITLE = {Lie theory and geometry},
    SERIES = {Progr. Math.},
    VOLUME = {123},
     PAGES = {531--568},
 PUBLISHER = {Birkh\"auser Boston, Boston, MA},
      YEAR = {1994},
       DOI = {10.1007/978-1-4612-0261-5\_20}
}


@article {Rietsch_1999,
    AUTHOR = {Rietsch, Konstanze},
     TITLE = {An algebraic cell decomposition of the nonnegative part of a
              flag variety},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {213},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {144--154},
MRREVIEWER = {Eric\ N.\ Sommers},
       DOI = {10.1006/jabr.1998.7665}
}

@article {Karpman_2018,
    AUTHOR = {Karpman, Rachel},
     TITLE = {Total positivity for the {L}agrangian {G}rassmannian},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {98},
      YEAR = {2018},
     PAGES = {25--76},
MRREVIEWER = {Li\ Li},
       DOI = {10.1016/j.aam.2018.02.001}
}