Network parameterizations for the Grassmannian by Kelli Talaska, Lauren Williams

Subjects: “…grassmannian…”
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Total positivity for cominuscule Grassmannians by Thomas Lam, Lauren Williams

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EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS by OLIVER PECHENIK, ALEXANDER YONG

“…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 by Rachel Karpman

“…The positroid decomposition of the Grassmannian refines the well-known Schubert decomposition, and has a rich combinatorial structure. …”
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POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS by POSTNIKOV, ALEXANDER

“…© ICM 2018.All rights reserved. The nonnegative Grassmannian is a cell complex with rich geometric, algebraic, and combinatorial structures. …”
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Sign variation, the Grassmannian, and total positivity by Steven N. Karp

Subjects: “…totally nonnegative grassmannian…”
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On Lagrangian Grassmannian Variety and Plücker Matrices by Jesús Carrillo-Pacheco

Subjects: “…Lagrangian Grassmannian…”
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Non-planar BCFW Grassmannian geometries by Shruti Paranjape, Jaroslav Trnka, Minshan Zheng

“…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 by Francisco Santos, Christian Stump, Volkmar Welker

Subjects: “…graßmannian…”
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Arrangements of equal minors in the positive Grassmannian by Miriam Farber, Alexander Postnikov

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On the Variety of Paths on Complete Intersections in Grassmannians by S. M. Yermakova

“…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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Arrangements of equal minors in the positive Grassmannian by Farber, Miriam, Postnikov, Alexander

“…Weakly separated sets, originally introduced by Leclerc and Zelevinsky, are closely related to the positive Grassmannian and the associated cluster algebra. However, we also construct examples of arrangements of smallest minors which are not weakly separated using chain reactions of mutations of plabic graphs. …”
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Mirabolic affine Grassmannian and character sheaves by Ginzburg, Victor, Travkin, Roman, Finkelberg, Michael

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A $t$-generalization for Schubert Representatives of the Affine Grassmannian by Avinash J. Dalal, Jennifer Morse

“…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 by Dehe Li, Shujie Zhai

Subjects: “…complex Grassmannians of rank two…”
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The ABC's of affine Grassmannians and Hall-Littlewood polynomials by Avinash J. Dalal, Jennifer Morse

“…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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0-Cycles on Grassmannians as Representations of Projective Groups by Bezrukavnikov, R., Rovinsky, M.

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Arrangements Of Minors In The Positive Grassmannian And a Triangulation of The Hypersimplex by Miriam Farber, Yelena Mandelshtam

“…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 $G_{n,2n}$ by Nayek, Arpita, Saha, Pinakinath

Subjects: “…Grassmannian…”
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Cohomology algebra of mapping spaces between quaternion Grassmannians by oteng maphane

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