Matches in SemOpenAlex for { <https://semopenalex.org/work/W2916547361> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W2916547361 abstract "We consider the loci of invertible linear maps $f : mathbb{C}^n to {(mathbb{C}^n)}^*$ together with pairs of flags $(E_bullet, F_bullet)$ in $mathbb{C}^n$ such that the various restrictions $f : F_j to E_i^*$ have specified ranks. Identifying an invertible linear map with its graph viewed as a point in a Grassmannian, we show that the closures of these loci have cohomology classes represented by the back-stable Schubert polynomials of Lam, Lee, and Shimozono. As a special case, we recover the result of Knutson, Lam, and Speyer that Stanley symmetric functions represent the classes of graph Schubert varieties. We consider similar loci where $f$ is restricted to be symmetric or skew-symmetric. Their classes are now given by back-stable versions of the polynomials introduced by Wyser and Yong to represent classes of orbit closures for the orthogonal and symplectic groups acting on the type A flag variety. Using degeneracy locus formulas of Kazarian and of Anderson and Fulton, we obtain new Pfaffian formulas for these polynomials in the vexillary case. We also give a geometric interpretation of the involution Stanley symmetric functions of Hamaker, Marberg, and the author: they represent classes of involution graph Schubert varieties in isotropic Grassmannians." @default.
- W2916547361 created "2019-03-02" @default.
- W2916547361 creator A5087936199 @default.
- W2916547361 date "2019-02-25" @default.
- W2916547361 modified "2023-09-27" @default.
- W2916547361 title "Universal graph Schubert varieties" @default.
- W2916547361 cites W1489169640 @default.
- W2916547361 cites W1553824818 @default.
- W2916547361 cites W1565192513 @default.
- W2916547361 cites W1857155239 @default.
- W2916547361 cites W1991715202 @default.
- W2916547361 cites W1991845702 @default.
- W2916547361 cites W1995154714 @default.
- W2916547361 cites W1999443625 @default.
- W2916547361 cites W2000642568 @default.
- W2916547361 cites W2009190506 @default.
- W2916547361 cites W2015981416 @default.
- W2916547361 cites W2043359095 @default.
- W2916547361 cites W2097560058 @default.
- W2916547361 cites W2109001550 @default.
- W2916547361 cites W2134984950 @default.
- W2916547361 cites W2252710755 @default.
- W2916547361 cites W2328632474 @default.
- W2916547361 cites W2507605611 @default.
- W2916547361 cites W2594823119 @default.
- W2916547361 cites W2964082626 @default.
- W2916547361 cites W3098095961 @default.
- W2916547361 cites W3103371502 @default.
- W2916547361 hasPublicationYear "2019" @default.
- W2916547361 type Work @default.
- W2916547361 sameAs 2916547361 @default.
- W2916547361 citedByCount "3" @default.
- W2916547361 countsByYear W29165473612021 @default.
- W2916547361 crossrefType "posted-content" @default.
- W2916547361 hasAuthorship W2916547361A5087936199 @default.
- W2916547361 hasConcept C114614502 @default.
- W2916547361 hasConcept C132525143 @default.
- W2916547361 hasConcept C162929932 @default.
- W2916547361 hasConcept C168619227 @default.
- W2916547361 hasConcept C169843257 @default.
- W2916547361 hasConcept C202444582 @default.
- W2916547361 hasConcept C2775956649 @default.
- W2916547361 hasConcept C33923547 @default.
- W2916547361 hasConcept C47158899 @default.
- W2916547361 hasConcept C96442724 @default.
- W2916547361 hasConcept C97912942 @default.
- W2916547361 hasConceptScore W2916547361C114614502 @default.
- W2916547361 hasConceptScore W2916547361C132525143 @default.
- W2916547361 hasConceptScore W2916547361C162929932 @default.
- W2916547361 hasConceptScore W2916547361C168619227 @default.
- W2916547361 hasConceptScore W2916547361C169843257 @default.
- W2916547361 hasConceptScore W2916547361C202444582 @default.
- W2916547361 hasConceptScore W2916547361C2775956649 @default.
- W2916547361 hasConceptScore W2916547361C33923547 @default.
- W2916547361 hasConceptScore W2916547361C47158899 @default.
- W2916547361 hasConceptScore W2916547361C96442724 @default.
- W2916547361 hasConceptScore W2916547361C97912942 @default.
- W2916547361 hasLocation W29165473611 @default.
- W2916547361 hasOpenAccess W2916547361 @default.
- W2916547361 hasPrimaryLocation W29165473611 @default.
- W2916547361 hasRelatedWork W1689364629 @default.
- W2916547361 hasRelatedWork W1934138896 @default.
- W2916547361 hasRelatedWork W1965810222 @default.
- W2916547361 hasRelatedWork W2024806284 @default.
- W2916547361 hasRelatedWork W2037831795 @default.
- W2916547361 hasRelatedWork W2038654853 @default.
- W2916547361 hasRelatedWork W2053164967 @default.
- W2916547361 hasRelatedWork W2073980466 @default.
- W2916547361 hasRelatedWork W2223649450 @default.
- W2916547361 hasRelatedWork W2604016210 @default.
- W2916547361 hasRelatedWork W2758566348 @default.
- W2916547361 hasRelatedWork W2901913779 @default.
- W2916547361 hasRelatedWork W2947055468 @default.
- W2916547361 hasRelatedWork W2951251451 @default.
- W2916547361 hasRelatedWork W2951268769 @default.
- W2916547361 hasRelatedWork W2951350134 @default.
- W2916547361 hasRelatedWork W2951536981 @default.
- W2916547361 hasRelatedWork W2951575286 @default.
- W2916547361 hasRelatedWork W3065843010 @default.
- W2916547361 hasRelatedWork W3089566550 @default.
- W2916547361 isParatext "false" @default.
- W2916547361 isRetracted "false" @default.
- W2916547361 magId "2916547361" @default.
- W2916547361 workType "article" @default.