Results 21 to 30 of about 12,632 (221)

Numerical Schubert Calculus

open access: yesJournal of Symbolic Computation, 1998
24 pages, LaTeX 2e with 2 figures, used epsf ...
Huber, B., Sottile, F., Sturmfels, B.
openaire   +3 more sources

Giant gravitons, Harish-Chandra integrals, and BPS states in symplectic and orthogonal N $$ \mathcal{N} $$ = 4 SYM

open access: yesJournal 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
doaj   +1 more source

Quasisymmetric Schubert calculus

open access: yes, 2022
32 ...
Pechenik, Oliver, Satriano, Matthew
openaire   +2 more sources

A Divided Difference Operator [PDF]

open access: yesDiscrete 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
doaj   +1 more source

Equivariant Schubert calculus

open access: yesArkiv 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.
openaire   +3 more sources

The down operator and expansions of near rectangular k-Schur functions [PDF]

open access: yesDiscrete 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
doaj   +1 more source

EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS

open access: yesForum 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
doaj   +1 more source

Affine charge and the $k$-bounded Pieri rule [PDF]

open access: yesDiscrete 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
doaj   +1 more source

Eigenvalue Inequalities and Schubert Calculus [PDF]

open access: yesMathematische Nachrichten, 1995
AbstractUsing techniques from algebraic topology we derive linear inequalities which relate the spectrum of a set of Hermitian matrices A1,…, Ar ϵ ¢n×n with the spectrum of the sum A1 + … + Ar. These extend eigenvalue inequalities due to Freede‐Thompson and Horn for sums of eigenvalues of two Hermitian matrices.
Helmke, U, Rosenthal, J
openaire   +1 more source

Maximal Newton polygons via the quantum Bruhat graph [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
This paper discusses a surprising relationship between the quantum cohomology of the variety of complete flags and the partially ordered set of Newton polygons associated to an element in the affine Weyl group.
Elizabeth T. Beazley
doaj   +1 more source

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