Results 11 to 20 of about 3,889 (159)

A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
We consider Buch's rule for K-theory of the Grassmannian, in the Schur multiplicity-free cases classified by Stembridge. Using a result of Knutson, one sees that Buch's coefficients are related to Möbius inversion. We give a direct combinatorial proof of
Michelle Snider
doaj   +1 more source

K-classes for matroids and equivariant localization [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
To every matroid, we associate a class in the K-theory of the Grassmannian. We study this class using the method of equivariant localization. In particular, we provide a geometric interpretation of the Tutte polynomial.
Alex Fink, David Speyer
doaj   +1 more source

Restricted Secant Varieties of Grassmannians [PDF]

open access: yesCollectanea Mathematica (2023): 1-21, 2022
Restricted secant varieties of Grassmannians are constructed from sums of points corresponding to $k$-planes with the restriction that their intersection has a prescribed dimension. We study dimensions of restricted secant of Grassmannians and relate them to the analogous question for secants of Grassmannians via an incidence variety construction.
arxiv   +1 more source

The Grassmannian VOA

open access: yesJournal of High Energy Physics, 2020
We study the 3-parametric family of vertex operator algebras based on the Grassmannian coset CFT u $$ \mathfrak{u} $$ (M + N ) k /( u $$ \mathfrak{u} $$ (M ) k × u $$ \mathfrak{u} $$ (N ) k ).
Lorenz Eberhardt, Tomáš Procházka
doaj   +1 more source

Biadjoint scalars and associahedra from residues of generalized amplitudes

open access: yesJournal of High Energy Physics, 2023
In the Grassmannian formulation of the S-matrix for planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills, N k−2 MHV scattering amplitudes for k negative and n − k positive helicity gluons can be expressed, by an application of the global residue theorem, as a
Freddy Cachazo, Nick Early
doaj   +1 more source

Finding Cliques in Projective Space: A Method for Construction of Cyclic Grassmannian Codes

open access: yesIEEE Access, 2020
In general, the construction of subspace codes or, in particular, cyclic Grassmannian codes in some projective space Pq(n) is highly mathematical and requires substantial computational power for the resulting searches.
Ismael Gutierrez-Garcia   +1 more
doaj   +1 more source

Tropical fans, scattering equations and amplitudes

open access: yesJournal of High Energy Physics, 2021
We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways.
James Drummond   +3 more
doaj   +1 more source

On the construction of $ \mathbb Z^n_2- $grassmannians as homogeneous $ \mathbb Z^n_2- $spaces

open access: yesElectronic Research Archive, 2022
In this paper, we construct the $ \mathbb Z^n_2- $grassmannians by gluing of the $ \mathbb Z^n_2- $domains and give an explicit description of the action of the $ \mathbb Z^n_2- $Lie group $ GL(\overrightarrow{\textbf{m}}) $ on the $ \mathbb Z^n_2 ...
Mohammad Mohammadi , Saad Varsaie
doaj   +1 more source

On the Variety of Paths on Complete Intersections in Grassmannians

open access: yesМоделирование и анализ информационных систем, 2014
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 . A length l path on such a variety is a connected curve composed of l lines.
S. M. Yermakova
doaj   +1 more source

3d N $$ \mathcal{N} $$ = 2 Chern-Simons-matter theory, Bethe ansatz, and quantum K -theory of Grassmannians

open access: yesJournal of High Energy Physics, 2020
We study a correspondence between 3d N $$ \mathcal{N} $$ = 2 topologically twisted Chern-Simons-matter theories on S 1 × Σg and quantum K -theory of Grassmannians.
Kazushi Ueda, Yutaka Yoshida
doaj   +1 more source

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