Results 11 to 20 of about 68 (56)
Δ–Springer varieties and Hall–Littlewood polynomials
Forum of Mathematics, SigmaThe $\Delta $ -Springer varieties are a generalization of Springer fibers introduced by Levinson, Woo and the author that have connections to the Delta Conjecture from algebraic combinatorics.
Sean T. Griffin
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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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On flagged $K$-theoretic symmetric polynomials
, 2023 We provide a fermionic description of flagged skew Grothendieck polynomials, which can be seen as a $K$-theoretic counterpart of flagged skew Schur polynomials. Our proof relies on the Jacobi-Trudi type formula established by Matsumura.
Iwao, Shinsuke
core
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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Geproci sets on skew lines in $\mathbb P^3$ with two transversals
, 2023 The purpose of this work is to pursue classification of geproci sets. Specifically we classify $[m,n]$-geproci sets which consist of $m=4$ points on each of $n$ skew lines, assuming the skew lines have two transversals in common.
Chiantini, Luca +8 more
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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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James reduced product schemes and double quasisymmetric functions
, 2023 Symmetric function theory is a key ingredient in the Schubert calculus of Grassmannians. Quasisymmetric functions are analogues that are similarly central to algebraic combinatorics, but for which the associated geometry is poorly developed.
Pechenik, Oliver, Satriano, Matthew
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Veterinary Dermatology, Volume 36, Issue 4, Page 453-461, August 2025.Background – Canine atopic dermatitis (cAD) is a chronic, inflammatory, multifactorial and pruritic disease. The presence of skin barrier impairment (e.g. filaggrin alterations), along with abnormal immune responses, can negatively impact cutaneous barrier function.
Wendie Roldan Villalobos +5 more
wiley +1 more source
Photography principle, data transmission, and invariants of manifolds
, 2023 In the present paper we develop the techniques suggested in \cite{ManturovNikonov} and the photography principle \cite{ManturovWan} to open a very broad path for constructing invariants for manifolds of dimensions greater than or equal to ...
Kauffman, L. +3 more
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, 2023 The Todd polynomials $td_k=td_k(b_1,b_2,\dots,b_m)$ are defined by their generating functions $$\sum_{k\ge 0} td_k s^k = \prod_{i=1}^m \frac{b_i s}{e^{b_i s}-1}.$$ It appears as a basic block in Todd class of a toric variety, which is important in the ...
Xin, Guoce, Zhang, Yingrui, Zhang, ZiHao
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