%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2020-02-09 11:13:41 +1100 %% Saved with string encoding Unicode (UTF-8) @article{ZJ, Arxiv = {0809.2392}, Author = {Zinn-Justin, P.}, Cites = {9}, Date-Modified = {2019-05-27 11:37:42 +1000}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Number = {1}, Pages = {Research Paper 12, 33 pp}, Theme = {Combinatorics and Quantum Integrable models}, Title = {{L}ittlewood--{R}ichardson coefficients and integrable tilings}, Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v16i1r12}, Volume = {16}, Year = {2009}, Bdsk-Url-1 = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v16i1r12}} @misc{KZJ, Author = {Knutson, A. and Zinn-Justin, P.}, Date-Modified = {2019-05-27 11:34:43 +1000}, Eprint = {1706.10019}, Eprinttype = {arxiv}, Title = {Schubert puzzles and integrability {I}: invariant trilinear forms}, Year = 2017} @book{AJS, Author = {Andersen, H. H. and Jantzen, J. C. and Soergel, W.}, Date-Modified = {2019-05-27 11:30:33 +1000}, Journal = {Ast\'{e}risque}, Mrclass = {20G05 (17B37 17B45)}, Mrnumber = {1272539}, Mrreviewer = {Jian-Pan Wang}, Number = {220}, Publisher = {Soc. Math. France, Paris}, Series = {Ast\'{e}risque}, Title = {Representations of quantum groups at a {$p$}th root of unity and of semisimple groups in characteristic {$p$}: independence of {$p$}}, Year = {1994}} @article{Billey, Author = {Billey, S. C.}, Date-Modified = {2019-05-27 11:32:10 +1000}, Doi = {10.1215/s0012-7094-99-09606-0}, Fjournal = {Duke Mathematical Journal}, Journal = {Duke Math. J.}, Mrclass = {14M17 (14M15)}, Mrnumber = {1663931}, Mrreviewer = {E. Aky\i ld\i z}, Number = {1}, Pages = {205--224}, Title = {Kostant polynomials and the cohomology ring for {$G/B$}}, Volume = {96}, Year = {1999}, Bdsk-Url-1 = {https://doi.org/10.1215/s0012-7094-99-09606-0}} @article{BKT, Author = {Buch, A. S. and Kresch, A. and Tamvakis, H.}, Fjournal = {Journal of the American Mathematical Society}, Journal = {J. Amer. Math. Soc.}, Mrclass = {14N35 (14M15)}, Mrnumber = {1992829}, Mrreviewer = {Andreas Gathmann}, Number = {4}, Pages = {901--915}, Title = {Gromov-{W}itten invariants on {G}rassmannians}, Volume = {16}, Year = {2003}} @article{BKPT, Author = {Buch, A. S. and Kresch, A. and Purbhoo, K. and Tamvakis, H.}, Date-Modified = {2020-02-09 11:13:41 +1100}, Doi = {10.1007/s10801-016-0697-3}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Journal = {J. Algebraic Combin.}, Mrclass = {05E05 (14M15 14N15 14N35)}, Mrnumber = {3566227}, Mrreviewer = {Frank Sottile}, Number = {4}, Pages = {973--1007}, Title = {The puzzle conjecture for the cohomology of two-step flag manifolds}, Volume = {44}, Year = {2016}, Bdsk-Url-1 = {https://doi.org/10.1007/s10801-016-0697-3}} @article{Buch, Author = {Buch, A. S.}, Fjournal = {Annals of Mathematics. Second Series}, Journal = {Ann. of Math. (2)}, Mrclass = {14M15 (05E10 14F43)}, Mrnumber = {3374959}, Mrreviewer = {Michael Orin Joyce}, Number = {1}, Pages = {173--220}, Title = {Mutations of puzzles and equivariant cohomology of two-step flag varieties}, Volume = {182}, Year = {2015}} @article{CoskunSp, Author = {{Co\c skun}, {\.I.}}, Date-Modified = {2019-05-27 11:33:10 +1000}, Doi = {10.1016/j.jcta.2014.02.004}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {14M15 (14N15 53C30 53D05)}, Mrnumber = 3207466, Mrreviewer = {Changzheng Li}, Pages = {47--97}, Title = {Symplectic restriction varieties and geometric branching rules {II}}, Volume = 125, Year = 2014, Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2014.02.004}} @article{Graham, Author = {Graham, W.}, Fjournal = {Duke Mathematical Journal}, Journal = {Duke Math. J.}, Mrclass = {14M17 (14C17 14F43 14M15 17B37)}, Mrnumber = {1853356}, Mrreviewer = {E. Aky\i ld\i z}, Number = {3}, Pages = {599--614}, Title = {Positivity in equivariant {S}chubert calculus}, Volume = {109}, Year = {2001}} @article{KT03, Author = {Knutson, A. and Tao, T.}, Date-Modified = {2019-05-27 11:34:26 +1000}, Doi = {10.1215/s0012-7094-03-11922-5}, Fjournal = {Duke Mathematical Journal}, Journal = {Duke Math. J.}, Mrclass = {14N15 (05E05 05E10 57R91 57S25)}, Mrnumber = {1997946}, Number = {2}, Pages = {221--260}, Title = {Puzzles and (equivariant) cohomology of {G}rassmannians}, Volume = {119}, Year = {2003}, Bdsk-Url-1 = {https://doi.org/10.1215/s0012-7094-03-11922-5}} @article{Pragacz, Author = {Pragacz, P.}, Date-Modified = {2019-05-27 11:35:49 +1000}, Doi = {10.1006/jabr.1999.8277}, Fjournal = {Journal of Algebra}, Journal = {J. Algebra}, Mrclass = {05E05}, Mrnumber = {1749909}, Mrreviewer = {Grant Walker}, Number = {1}, Pages = {639--648}, Title = {Addendum: A generalization of the Macdonald-You formula}, Volume = {226}, Year = {2000}, Bdsk-Url-1 = {https://doi.org/10.1006/jabr.1999.8277}} @article{PurbhooSottile, Author = {Purbhoo, K. and Sottile, F.}, Date-Modified = {2019-05-27 11:36:25 +1000}, Doi = {10.1090/s0002-9939-09-09637-3}, Fjournal = {Proceedings of the American Mathematical Society}, Journal = {Proc. Amer. Math. Soc.}, Mrclass = {14N15 (05E10 14M15)}, Mrnumber = {2480266}, Mrreviewer = {David E. Anderson}, Number = {6}, Pages = {1875--1882}, Title = {A {L}ittlewood--{R}ichardson rule for {G}rassmannian permutations}, Volume = {137}, Year = {2009}, Bdsk-Url-1 = {https://doi.org/10.1090/s0002-9939-09-09637-3}} @article{Stembridge, Author = {Stembridge, J. R.}, Date-Modified = {2019-05-27 11:36:49 +1000}, Doi = {10.1016/0001-8708(89)90005-4}, Fjournal = {Advances in Mathematics}, Journal = {Adv. 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Guest}, Number = {31}, Publisher = {Princeton University Press, Princeton, NJ}, Series = {Mathematical Notes}, Title = {Cohomology of Quotients in Symplectic and Algebraic Geometry}, Year = {1984}}