Results 71 to 80 of about 36,312 (298)
Grassmannian Integrals as Matrix Models for Non-Compact Yangian Invariants [PDF]
, 2015 In the past years, there have been tremendous advances in the field of planar N=4 super Yang-Mills scattering amplitudes. At tree-level they were formulated as Grassmannian integrals and were shown to be invariant under the Yangian of the superconformal ...
Kanning, Nils +2 more
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Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
Journal of High Energy Physics, 2022 We investigate a new algebra-based approach of finding Grassmannian formulas for scattering amplitudes. Our prime motivation is massive amplitudes of 4D N $$ \mathcal{N} $$ = 4 SYM, and therefore we consider a 6D Grassmannian formula, where we can take ...
Klaus Bering, Michal Pazderka
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Dyck paths, binary words, and Grassmannian permutations avoiding an increasing pattern [PDF]
arXiv, 2022 A permutation is called Grassmannian if it has at most one descent. The study of pattern avoidance in such permutations was initiated by Gil and Tomasko in 2021. We continue this work by studying Grassmannian permutations that avoid an increasing pattern.
arxiv
On residual categories for Grassmannians [PDF]
Proceedings of the London Mathematical Society, 2019 We define and discuss some general properties of residual categories of Lefschetz decompositions in triangulated categories. In the case of the derived category of coherent sheaves on the Grassmannian $\text{G}(k,n)$ we conjecture that the residual category associated with Fonarev's Lefschetz exceptional collection is generated by a completely ...
Maxim Smirnov +3 more
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Journal of Combinatorial Theory, Series A, 1995 AbstractLet P be a projective space and consider a geometric hyperplane H of the Grassmannian of k-dimensional subspaces of P, where k is some integer. We give a diagram-theoretic characterization of the affine Grassmann geometry of all the subspaces of P containing or contained in a member of the complement of H.
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Totally nonnegative Grassmannian and Grassmann polytopes [PDF]
, 2015 These are lecture notes intended to supplement my second lecture at the Current Developments in Mathematics conference in 2014. In the first half of article, we give an introduction to the totally nonnegative Grassmannian together with a survey of some ...
T. Lam
semanticscholar +1 more source
Journal of Pure and Applied Algebra, 2012 We study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspaces of a hermitian form over a field, the main result saying that these grassmannians are 2-incompressible if the hermitian form is generic.
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Tropicalization of positive Grassmannians [PDF]
Selecta Mathematica, 2019 We introduce combinatorial objects which are parameterized by the positive part of the tropical Grassmannian $Gr(k,n)$. Our method is to relate the Grassmannian to configuration spaces of flags. By work of the first author, and of Goncharov and Shen, configuration spaces of flags naturally tropicalize to give configurations of points in the affine ...
Ian Le, Chris Fraser
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Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We present an existence theorem for a class of generalized quasi-variational problem involving Grassmannian manifolds. This class is directly inspired by a general equilibrium problem with time, uncertainty and incomplete financial market with real ...
Maria B. Donato, Antonio Villanacci
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A homological interpretation of the transverse quiver Grassmannians
, 2011 In recent articles, the investigation of atomic bases in cluster algebras associated to affine quivers led the second-named author to introduce a variety called transverse quiver Grassmannian and the first-named and third-named authors to consider the ...
A Schofield +10 more
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