Frobenius splitting of Schubert varieties of semi-infinite flag manifolds
Forum of Mathematics, Pi, 2021 We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field ${\mathbb K}$ of characteristic $\neq 2$ from scratch.
Syu Kato
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Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type
Forum of Mathematics, Sigma, 2021 We prove an explicit inverse Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds of simply laced type. By an ‘inverse Chevalley formula’ we mean a formula for the product of an equivariant scalar with a Schubert class, expressed
Takafumi Kouno +3 more
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Infinite flags and Schubert polynomials
Forum of Mathematics, SigmaWe study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched ...
David Anderson
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An inverse Grassmannian Littlewood–Richardson rule and extensions
Forum of Mathematics, SigmaChow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis.
Oliver Pechenik, Anna Weigandt
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Forum of Mathematics, SigmaIn our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal.
Toshiaki Maeno +2 more
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Borel-type presentation of the torus-equivariant quantum K-ring of flag manifolds of type C
Forum of Mathematics, SigmaWe give a presentation of the torus-equivariant (small) quantum K-ring of flag manifolds of type C as an explicit quotient of a Laurent polynomial ring; our presentation can be thought of as a quantization of the classical Borel presentation of the ...
Takafumi Kouno, Satoshi Naito
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Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz
Forum of Mathematics, SigmaSchubert Vanishing is a problem of deciding whether Schubert coefficients are zero. Until this work it was open whether this problem is in the polynomial hierarchy ${{\mathsf {PH}}}$ .
Igor Pak, Colleen Robichaux
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Unravelling adolescent girls' aspirations in Nepal: Status and associations with individual-, household-, and community-level characteristics. [PDF]
PLoS One, 2021 Madjdian DS +6 more
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Re-engineering contested concepts. A reflective-equilibrium approach. [PDF]
Synthese, 2022 Brun G.
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Do Emergency Nurses Spend Enough Time on Nursing Activities? The Relationship Between Actual and Expected Patient Care Nursing Time. [PDF]
J Acute Med, 2019 Fann WC +4 more
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