Results 81 to 90 of about 3,252 (223)
EQUIVARIANT -THEORY OF GRASSMANNIANS [PDF]
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 (2002), 37–78] and Knutson and Tao [Puzzles and (equivariant) cohomology of Grassmannians, Duke Math. J.119(2) (2003), 221–260]. That is, we prove a combinatorial rule for the structure coefficients
OLIVER PECHENIK, ALEXANDER YONG
openaire +4 more sources
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
wiley +1 more source
Polygon spaces and Grassmannians
, 1996 We study the moduli spaces of polygons in R^2 and R^3, identifying them with subquotients of 2-Grassmannians using a symplectic version of the Gel'fand-MacPherson correspondence. We show that the bending flows defined by Kapovich-Millson arise as a reduction of the Gel'fand-Cetlin system on the Grassmannian, and with these determine the pentagon and ...
Hausmann, Jean-Claude, Knutson, Allen
openaire +4 more sources
Schubert Quiver Grassmannians [PDF]
Algebras and Representation Theory, 2016 Quiver Grassmannians are projective varieties parametrizing subrepresentations of given dimension in a quiver representation. We define a class of quiver Grassmannians generalizing those which realize degenerate flag varieties. We show that each irreducible component of the quiver Grassmannians in question is isomorphic to a Schubert variety.
CERULLI IRELLI, GIOVANNI +2 more
openaire +3 more sources
Remarks on Grassmannian symmetric spaces [PDF]
, 2013 The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for |l|-graded parabolic ...
Zalabová, Lenka, Žádník, Vojtěch
core
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, Volume 299, Issue 3, Page 514-528, March 2026.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
Rank-metric codes as ideals for subspace codes and their weight properties
AKCE International Journal of Graphs and Combinatorics, 2019 Let q=pr, p a prime, r a positive integer, and Fqthe Galois field with cardinality q and characteristic p. In this paper, we study some weight properties of rank-metric codes and subspace codes. The rank weight is not egalitarian nor homogeneous, and the
Bryan S. Hernandez, Virgilio P. Sison
doaj +1 more source
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley +1 more source
Sobre la convergencia en el Grassmaniano
Selecciones Matemáticas, 2020 In this paper, we present a characterization of the convergence on the n-th order Grassmannian that permits us to show in a direct way that this set is compact and every vector bundle is measurable.
Helmuth Villavicencio
doaj +1 more source