Results 101 to 110 of about 3,252 (223)
Grassmannian and elliptic operators
, 1997 The conjecture about relation between infinite-dimensional Grassmannian and string theory is based on the fact that moduli spaces of algebraic curves are embedded into Grassmannian via Krichever construction.
Friedlander, Leonid, Schwarz, Albert
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Symmetry, Integrability and Geometry: Methods and Applications, 2011 In this parer, q-deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed.
Yusef Maleki
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Journal of High Energy Physics, 2017 In this paper we consider tree-level gauge invariant off-shell amplitudes (Wilson line form factors) in N = 4 $$ \mathcal{N}=4 $$ SYM with arbitrary number of off-shell gluons or equivalently Wilson line operator insertions.
L.V. Bork, A.I. Onishchenko
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Journal of AlgebraWe study affine Grassmannians for the exceptional group of type G_2. This group can be given as automorphisms of octonion algebras (or para-octonion algebras). By using this automorphism group, we consider all maximal parahoric subgroups in G_2, and give a description of affine Grassmannians for G_2 as functors classifying suitable orders in a fixed ...
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Grassmannian geometry of scattering amplitudes
, 2016 Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang ...
Arkani-Hamed, Nima +5 more
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Singularities of Affine Schubert Varieties
Symmetry, Integrability and Geometry: Methods and Applications, 2009 This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type A_l^{(1)}). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine explicitly the tangent ...
Jochen Kuttler, Venkatramani Lakshmibai
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Semicharacteristics of oriented grassmannians
Journal of Pure and Applied Algebra, 1984 Let M be a closed manifold of dimension \(2m+1\). The semicharacteristic of M with respect to a field F is defined to be \[ S\chi_ F(M)=\sum^{m}_{0}(-1)^ i\quad \dim_ F H^ i(M;F) mod 2. \] If F is of characteristic not 2, then one assumes that M is oriented. In this paper the author proves that the semicharacteristics of \(G=G^+_ k({\mathbb{R}}^{n+k})\)
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Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
Complex Manifolds, 2015 In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
Ermakova Svetlana
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Spinors,Calibrations and Grassmannians
Tsukuba Journal of Mathematics, 2003 A calibration on a Riemannian manifold \(M\) is a closed \(k\)-form \(\xi\) such that \(\xi_p(e_1\wedge\cdots\wedge e_k)\leq 1\) for every set of orthonormal vectors in \(T_pM\). The set of sets of orthonormal vectors for which we have equality is the contact set for \(\xi\); this set is required to be nonempty.
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On embedded products of Grassmannians
Discrete Mathematics, 2003 Let $Γ'$ and $Γ$ be two Grassmannians. The standard embedding $ϕ:Γ'\timesΓ\to \bar{P}$ is obtained by combining the Plücker and Segre embeddings. Given a further embedding $η: Γ'\timesΓ\to P'$, we find a sufficient condition for the existence of $α\in Aut(Γ)$ and of a collineation $ψ: \bar{P} \to P'$ such that $η=({\rm id}_{Γ'}\timesα)ϕψ$.
H. HAVLICEK, ZANELLA, CORRADO
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