Results 91 to 100 of about 36,312 (298)

Wall‐crossing for quasimaps to GIT stack bundles

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We define the notion of ε$\epsilon$‐stable quasimaps to a GIT stack bundle, and study the wall‐crossing behavior of the resulting ε$\epsilon$‐quasimap theory as ε$\epsilon$ varies.
Shidhesh Supekar, Hsian‐Hua Tseng
wiley   +1 more source

Reductive groups, the loop Grassmannian, and the Springer resolution [PDF]

open access: yes, 2016
In this paper we prove equivalences of categories relating the derived category of a block of the category of representations of a connected reductive algebraic group over an algebraically closed field of characteristic p bigger than the Coxeter number ...
Pramod N. Achar, S. Riche
semanticscholar   +1 more source

Infinite dimensional Grassmannians

open access: yesarXiv: Algebraic Topology, 2003
We study the analytic and homotopy properties of some infinite dimensional Grassmannians, useful for developing a Morse theory for infinite dimensional manifolds. We study the space of Fredholm pairs of a Hilbert space, we determine its homotopy type, and we define a determinant bundle over it.
ABBONDANDOLO, ALBERTO, MAJER, PIETRO
openaire   +4 more sources

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley   +1 more source

Equivariant Giambelli formula for the symplectic Grassmannians — Pfaffian Sum Formula [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
We prove an explicit closed formula, written as a sum of Pfaffians, which describes each equivariant Schubert class for the Grassmannian of isotropic subspaces in a symplectic vector ...
Takeshi Ikeda, Tomoo Matsumura
doaj   +1 more source

Numerical Algorithms on the Affine Grassmannian [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2016
The affine Grassmannian is a noncompact smooth manifold that parameterizes all affine subspaces of a fixed dimension. It is a natural generalization of Euclidean space, points being zero-dimensional affine subspaces.
Lek-Heng Lim, Ken Sze-Wai Wong, Ke Ye
semanticscholar   +1 more source

Enumerative Coding for Grassmannian Space [PDF]

open access: yes, 2010
The Grassmannian space $\Gr$ is the set of all $k-$dimensional subspaces of the vector space~\smash{$\F_q^n$}. Recently, codes in the Grassmannian have found an application in network coding.
Etzion, Tuvi, Silberstein, Natalia
core  

Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties

open access: yesProceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
wiley   +1 more source

Mori dream bonds and C∗${\mathbb {C}}^*$‐actions

open access: yesMathematische Nachrichten, Volume 298, Issue 4, Page 1127-1147, April 2025.
Abstract We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and C∗${\mathbb {C}}^*$‐actions on polarized pairs which are bordisms. Moreover, we show that the Mori dream regions constructed in this way admit a chamber decomposition on which the models are the geometric quotients of ...
Lorenzo Barban   +3 more
wiley   +1 more source

On the geometry of the orthogonal momentum amplituhedron

open access: yesJournal of High Energy Physics, 2022
In this paper we focus on the orthogonal momentum amplituhedron O $$ \mathcal{O} $$ k , a recently introduced positive geometry that encodes the tree-level scattering amplitudes in ABJM theory.
Tomasz Łukowski   +2 more
doaj   +1 more source

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