Results 91 to 100 of about 3,252 (223)

Noncrossing sets and a Graßmannian associahedron [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
We study a natural generalization of the noncrossing relation between pairs of elements in $[n]$ to $k$-tuples in $[n]$. We show that the flag simplicial complex on $\binom{[n]}{k}$ induced by this relation is a regular, unimodular and flag triangulation
Francisco Santos   +2 more
doaj   +1 more source

The motive of the Hilbert scheme of points in all dimensions

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo   +3 more
wiley   +1 more source

Symplectic Grassmannian description of the Coulomb branch three and four point amplitudes

open access: yesJournal of High Energy Physics
We present a formulation of the three- and four-point amplitudes on the Coulomb branch of N $$ \mathcal{N} $$ = 4 SYM as integrals over the symplectic Grassmannian.
Veronica Calvo Cortes   +3 more
doaj   +1 more source

Optimization in Conceptual Design of a BWB UAV Using an Adaptive Kriging‐Based Surrogate Model

open access: yesEngineering Reports, Volume 8, Issue 2, February 2026.
An adaptive Kriging‐based framework for Blended Wing Body UAV optimization is presented. The exploitation‐oriented strategy yields a 14.5% range improvement, while sensitivity analysis identifies fuel mass as the dominant parameter for efficient conceptual design. ABSTRACT To improve optimization efficiency in the conceptual design of Blended Wing Body
Xinshi Suo   +3 more
wiley   +1 more source

The compatible Grassmannian [PDF]

open access: yes, 2014
Let A be a positive injective operator in a Hilbert space View the MathML source, and denote by View the MathML source the inner product defined by A : [f,g]=〈Af,g〉.
Di Iorio y Lucero, María Eugenia   +3 more
core   +1 more source

Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in N = 4 $$ \mathcal{N}=4 $$ SYM

open access: yesJournal 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. For the off-shell amplitudes with one leg off-shell we present a conjecture for their Grassmannian integral ...
L. V. Bork, A. I. Onishchenko
doaj   +1 more source

Witten genera of complete intersections

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc$\text{Spin}^c$‐manifolds and in other Spinc$\text{Spin}^c$‐manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.
Michael Wiemeler
wiley   +1 more source

Toric amplitudes and universal adjoints

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract A toric amplitude is a rational function associated with a simplicial polyhedral fan. The definition is inspired by scattering amplitudes in particle physics. We prove algebraic properties of such amplitudes and study the geometry of their zero loci. These hypersurfaces play the role of Warren's adjoint via a dual volume interpretation.
Simon Telen
wiley   +1 more source

Covering Grassmannian Codes: Bounds and Constructions

open access: yes, 2022
Grassmannian $\mathcal{G}_q(n,k)$ is the set of all $k$-dimensional subspaces of the vector space $\mathbb{F}_q^n.$ Recently, Etzion and Zhang introduced a new notion called covering Grassmannian code which can be used in network coding solutions for ...
Qian, Bingchen   +3 more
core  

Quantum GraviElectro Dynamics

open access: yesAnnalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

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