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Network parameterizations for the Grassmannian
Published 2013-01-01Subjects: “…grassmannian…”
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EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS
Published 2017-01-01“…We address a unification of the Schubert calculus problems solved by Buch [A Littlewood–Richardson rule for the $K$ -theory of Grassmannians, Acta Math. 189 (2002), 37–78] and Knutson and Tao [Puzzles and (equivariant) cohomology of Grassmannians, Duke Math. …”
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Total positivity for the Lagrangian Grassmannian
Published 2020-04-01“…The positroid decomposition of the Grassmannian refines the well-known Schubert decomposition, and has a rich combinatorial structure. …”
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Sign variation, the Grassmannian, and total positivity
Published 2015-01-01Subjects: “…totally nonnegative grassmannian…”
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On Lagrangian Grassmannian Variety and Plücker Matrices
Published 2024-03-01Subjects: “…Lagrangian Grassmannian…”
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Non-planar BCFW Grassmannian geometries
Published 2022-12-01“…We show that these terms can be interpreted as dlog forms on the non-planar Grassmannian geometries, generalizing the cells of the positive Grassmannian G +(k, n) to a larger class of objects which live in G(k, n). …”
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Noncrossing sets and a Graßmannian associahedron
Published 2014-01-01Subjects: “…graßmannian…”
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Arrangements of equal minors in the positive Grassmannian
Published 2014-01-01Subjects: Get full text
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On the Variety of Paths on Complete Intersections in Grassmannians
Published 2014-08-01“…In this article we study the Fano variety of lines on the complete intersection of the grassmannian G(n, 2n) with hypersurfaces of degrees d1 ..., di . …”
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A $t$-generalization for Schubert Representatives of the Affine Grassmannian
Published 2013-01-01“…We introduce two families of symmetric functions with an extra parameter $t$ that specialize to Schubert representatives for cohomology and homology of the affine Grassmannian when $t=1$. The families are defined by a statistic on combinatorial objects associated to the type-$A$ affine Weyl group and their transition matrix with Hall-Littlewood polynomials is $t$-positive. …”
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Real Hypersurfaces in Complex Grassmannians of Rank Two
Published 2021-12-01Subjects: “…complex Grassmannians of rank two…”
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The ABC's of affine Grassmannians and Hall-Littlewood polynomials
Published 2012-01-01“…In doing so, we prove a new combinatorial formula for representatives of the Schubert classes for the cohomology of affine Grassmannians. We show how new combinatorics involved in our formulas gives the Kostka-Foulkes polynomials and discuss how this can be applied to study the transition matrices between Hall-Littlewood and $k$-Schur functions.…”
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Arrangements Of Minors In The Positive Grassmannian And a Triangulation of The Hypersimplex
Published 2015-01-01“…The structure of zero and nonzero minors in the Grassmannian leads to rich combinatorics of matroids. …”
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Torus quotient of the Grassmannian $G_{n,2n}$
Published 2023-11-01Subjects: “…Grassmannian…”
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Cohomology algebra of mapping spaces between quaternion Grassmannians
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Endpoint Geodesic Formulas on Graßmannians Applied to Interpolation Problems
Published 2023-08-01Subjects: “…Graßmannians…”
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Affine type A geometric crystal structure on the Grassmannian
Published 2020-04-01“…In particular, the promotion operation on these tableaux essentially corresponds to cyclically shifting the Plu ̈cker coordinates of the Grassmannian.…”
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Composite non-Abelian strings with Grassmannian models on the worldsheet
Published 2019-09-01“…The generalization is straightforward and provides, among other results, a simple and transparent way for counting the number of vacua in N=(2,2) Grassmannian model.…”
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Aerodynamic Shape Optimization with Grassmannian Shape Parameterization Method
Published 2022-10-01Subjects: Get full text
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