Geometry of Peterson Schubert calculus in type A and left-right diagrams
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Published in | Algebraic combinatorics Vol. 7; no. 2; pp. 383 - 412 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
29.04.2024
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Online Access | Get full text |
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Author | Abe, Hiraku Horiguchi, Tatsuya Kuwata, Hideya Zeng, Haozhi |
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Author_xml | – sequence: 1 givenname: Hiraku surname: Abe fullname: Abe, Hiraku – sequence: 2 givenname: Tatsuya surname: Horiguchi fullname: Horiguchi, Tatsuya – sequence: 3 givenname: Hideya surname: Kuwata fullname: Kuwata, Hideya – sequence: 4 givenname: Haozhi surname: Zeng fullname: Zeng, Haozhi |
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Cites_doi | 10.4153/CMB-2014-048-0 10.1090/ert/499 10.1112/plms/pdq038 10.1215/00127094-2023-0021 10.1007/s00029-018-0405-3 10.2969/jmsj/06731147 10.1016/j.jalgebra.2010.03.001 10.1007/978-1-4612-1700-8 10.1093/imrn/rnad030 10.1007/978-3-642-18808-4 10.1007/BF01587939 10.37236/4945 10.2307/2154181 10.1007/s44007-022-00023-0 10.1515/crelle-2018-0039 10.1093/imrn/rnn153 10.2140/involve.2012.5.115 10.1007/s10801-014-0545-2 10.1093/imrn/rnab337 10.1007/3-7643-7342-3_2 10.1007/s00031-020-09554-8 10.1093/imrn/rnx275 10.1353/ajm.2006.0050 10.1017/S0027763000009272 10.1307/mmj/20205971 10.1007/s10711-015-0093-5 10.1515/9781400881826 |
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References | Abe, Takuro (key2024042911103659860_6) 2020; 764 Nadeau, Philippe (key2024042911103659860_28) 2023 Horiguchi, Tatsuya (key2024042911103659860_21) 2024 Berget, Andrew (key2024042911103659860_10) 2023; 172 Insko, Erik (key2024042911103659860_23) 2015; 22 Brion, Michel (key2024042911103659860_11) 2005 Bălibanu, Ana (key2024042911103659860_8) 2017; 21 Lazarsfeld, Robert (key2024042911103659860_26) 2004; 48 Peterson, Dale (key2024042911103659860_29) 1997 Abe, Hiraku (key2024042911103659860_1) 2018; 24 Drellich, Elizabeth (key2024042911103659860_13) 2015 Bayegan, Darius (key2024042911103659860_9) 2012; 5 Fulton, William (key2024042911103659860_17) 1998; 2 Anderson, Dave (key2024042911103659860_7) 2010; 323 Abe, Hiraku (key2024042911103659860_3) 2023; 73 Fulton, William (key2024042911103659860_16) 1997; 35 Postnikov, Alexander (key2024042911103659860_30) 2009 Milnor, John W. (key2024042911103659860_27) 1974; 76 Abe, Hiraku (key2024042911103659860_4) 2019 Fukukawa, Yukiko (key2024042911103659860_15) 2015; 67 Tymoczko, Julianna S. (key2024042911103659860_33) 2006; 128 Abe, Hiraku (key2024042911103659860_5) 2022 Drellich, Elizabeth (key2024042911103659860_14) 2015; 41 Goldin, Rebecca (key2024042911103659860_18) 2022; 1 Harada, Megumi (key2024042911103659860_20) 2011; 103 Kostant, Bertram (key2024042911103659860_25) 1996; 2 Insko, Erik (key2024042911103659860_24) 2016; 180 Abe, Hiraku (key2024042911103659860_2) 2020; 25 Harada, Megumi (key2024042911103659860_19) 2015; 58 Teff, Nicholas (key2024042911103659860_32) 2011; AO De Mari, F. (key2024042911103659860_12) 1992; 332 Humphreys, James E. (key2024042911103659860_22) 1975; 21 Rietsch, Konstanze (key2024042911103659860_31) 2006; 183 |
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(3) doi: 10.1112/plms/pdq038 contributor: fullname: Harada, Megumi – volume: 172 start-page: 3475 issue: 18 year: 2023 ident: key2024042911103659860_10 article-title: Log-concavity of matroid h-vectors and mixed Eulerian numbers publication-title: Duke Math. J. doi: 10.1215/00127094-2023-0021 contributor: fullname: Berget, Andrew – volume: 24 start-page: 2129 issue: 3 year: 2018 ident: key2024042911103659860_1 article-title: Geometry of Hessenberg varieties with applications to Newton-Okounkov bodies publication-title: Selecta Math. (N.S.) doi: 10.1007/s00029-018-0405-3 contributor: fullname: Abe, Hiraku – volume: 67 start-page: 1147 issue: 3 year: 2015 ident: key2024042911103659860_15 article-title: The equivariant cohomology rings of Peterson varieties publication-title: J. Math. Soc. 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I doi: 10.1007/978-3-642-18808-4 contributor: fullname: Lazarsfeld, Robert – volume: 2 start-page: 43 issue: 1 year: 1996 ident: key2024042911103659860_25 article-title: Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight <span class="mathjax-formula" data-tex="$\rho $"><math xmlns="http://www.w3.org/1998/Math/MathML">ρ</math></span> publication-title: Selecta Math. (N.S.) doi: 10.1007/BF01587939 contributor: fullname: Kostant, Bertram – volume: 22 issue: 2 year: 2015 ident: key2024042911103659860_23 article-title: Schubert calculus and the homology of the Peterson variety publication-title: Electron. J. Combin. doi: 10.37236/4945 contributor: fullname: Insko, Erik – volume: 332 start-page: 529 issue: 2 year: 1992 ident: key2024042911103659860_12 article-title: Hessenberg varieties publication-title: Trans. Amer. Math. 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