Results 21 to 30 of about 12,587 (151)
Cohomology classes of rank varieties and a counterexample to a conjecture of Liu [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 To each finite subset of a discrete grid $\mathbb{N}×\mathbb{N}$ (a diagram), one can associate a subvariety of a complex Grassmannian (a diagram variety), and a representation of a symmetric group (a Specht module).
Brendan Pawlowski
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Geometric Proofs of Horn and Saturation Conjectures [PDF]
, 2005 We provide a geometric proof of the Schubert calculus interpretation of the Horn conjecture, and show how the saturation conjecture follows from it. The geometric proof gives a strengthening of Horn and saturation conjectures.
Belkale, Prakash
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Journal of Symbolic Computation, 1998 24 pages, LaTeX 2e with 2 figures, used epsf ...
Birkett Huber +2 more
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Multiplicity-Free Schubert Calculus [PDF]
Canadian Mathematical Bulletin, 2010 AbstractMultiplicity-free algebraic geometry is the study of subvarieties Y ⊆ X with the “smallest invariants” as witnessed by a multiplicity-free Chow ring decomposition of [Y] ∈ A*(X) into a predetermined linear basis.This paper concerns the case of Richardson subvarieties of the Grassmannian in terms of the Schubert basis.
Thomas, Hugh, Yong, Alexander
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Journal of High Energy Physics, 2022 We find generating functions for half BPS correlators in N $$ \mathcal{N} $$ = 4 SYM theories with gauge groups Sp(2N), SO(2N + 1), and SO(2N) by computing the norms of a class of BPS coherent states.
Adolfo Holguin, Shannon Wang
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A Divided Difference Operator [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We construct a divided difference operator using GKM theory. This generalizes the classical divided difference operator for the cohomology of the complete flag variety.
Nicholas Teff
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The down operator and expansions of near rectangular k-Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We prove that the Lam-Shimozono ``down operator'' on the affine Weyl group induces a derivation of the affine Fomin-Stanley subalgebra of the affine nilCoxeter algebra. We use this to verify a conjecture of Berg, Bergeron, Pon and Zabrocki describing the
Chris Berg, Franco Saliola, Luis Serrano
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EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS
Forum of Mathematics, Pi, 2017 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 (
OLIVER PECHENIK, ALEXANDER YONG
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Affine charge and the $k$-bounded Pieri rule [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We provide a new description of the Pieri rule of the homology of the affine Grassmannian and an affineanalogue of the charge statistics in terms of bounded partitions.
Jennifer Morse, Anne Schilling
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Arkiv för Matematik, 2010 Let $T$ be a torus acting on $\CC^n$ in such a way that, for all $1\leq k\leq n$, the induced action on the grassmannian $G(k,n)$ has only isolated fixed points. This paper proposes a natural, elementary, explicit description of the corresponding $T$-equivariant Schubert calculus. In a suitable natural basis of the $T$-equivariant cohomology, seen as a
GATTO, Letterio, SANTIAGO T.
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