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arXiv:2603.05688v1 Announce Type: new Abstract: We prove a conjecture of Brochier, Jordan, Safronov, and Snyder [BJSS21], first formulated by Lurie [Lur09b], characterizing fully-dualizable and invertible...
arXiv:2603.05702v1 Announce Type: new Abstract: One of the most important classes of even $\Delta$-matroids arises from orientable ribbon graphs, which play a role analogous to...
arXiv:2603.05705v1 Announce Type: new Abstract: This paper examines vertex colorings of graphs with constraints on the distribution of colors in vertex neighborhoods. We introduce color...
arXiv:2603.05709v1 Announce Type: new Abstract: The partial pivoted Cholesky approximation accurately represents matrices that are close to being low-rank. Meanwhile, the Vecchia approximation accurately represents...
arXiv:2603.05721v1 Announce Type: new Abstract: We consider the task of estimating the trace of a matrix function, ${\rm tr}(f({\bf A}))$, of a large symmetric positive...
arXiv:2603.05733v1 Announce Type: new Abstract: We investigate more closely the class of generalized b-weakly compact operators on locally convex-solid Riesz spaces and we provide new...
arXiv:2603.05736v1 Announce Type: new Abstract: The generalized Honeymoon Oberwolfach Problem (HOP) asks whether it is possible to seat $2n$ participants consisting of $n$ newlywed couples...
arXiv:2603.05737v1 Announce Type: new Abstract: The motion of compressible, inviscid fluid under the constant pressure on a rotating sphere is studied. The hodograph equations for...
arXiv:2603.05742v1 Announce Type: new Abstract: The dense amalgam is an operation (introduced in arXiv:1410.4989) which to any finite collection of metrizable compacta associates canonically some...
arXiv:2603.05753v1 Announce Type: new Abstract: Recent studies of topologically generic unfoldings of vector fields featuring a "tears of the heart" polycycle with one internal and...
arXiv:2603.05775v1 Announce Type: new Abstract: The precoloring problem of a graph involves assigning colors to some vertices beforehand, and the objective is to determine whether...
arXiv:2603.05779v1 Announce Type: new Abstract: Based on the analysis by Iwabuchi-Matsuyama-Taniguchi (2019), we first introduce our framework of Besov spaces $\dot B^s_{p, q}$ on the...
arXiv:2603.05782v1 Announce Type: new Abstract: We examine unitary and nonunitary representations of the Heisenberg-Weyl Lie algebra $\mathfrak{hw}_n$, with particular emphasis on tensor products of unitary...
arXiv:2603.05790v1 Announce Type: new Abstract: Let $(M,g,J,\omega)$ be an almost Hermitian manifold. Given an automorphism $\psi\in \mathrm{Aut}(TM)$, the existing structure can be twisted to obtain...
arXiv:2603.05797v1 Announce Type: new Abstract: We study the defocusing nonlinear Schr\"odinger equation on noncompact metric graphs under general self-adjoint vertex conditions ensuring the existence of...
arXiv:2603.05803v1 Announce Type: new Abstract: Recently, Brailovskaya & van Handel (GAFA, 2024) established a suite of nonasymptotic universality laws which demonstrate that the spectral statistics...
arXiv:2603.05808v1 Announce Type: new Abstract: We study two closely related families of varieties arising from genus $0$ stable maps to the Lagrangian Grassmannian $\operatorname{LG}(n,2n)$. First,...
arXiv:2603.05809v1 Announce Type: new Abstract: A new method for solving quartic equations due to Luo and Lin is investigated both computationally and theoretically. As a...
arXiv:2603.05814v1 Announce Type: new Abstract: In this article, we propose an algorithm for the nonlinear conjugate gradient method to find a Pareto critical point of...
arXiv:2603.05823v1 Announce Type: new Abstract: We compute Donaldson-Thomas(DT) invariants and their descendant invariants for the local Calabi-Yau 4-fold over the Mukai-Umemura variety via several localization...
arXiv:2603.05838v1 Announce Type: new Abstract: We prove a sharp inequality between the Alexander-Taylor capacity and the functional capacity in a complex Sobolev space on a...
arXiv:2603.05841v1 Announce Type: new Abstract: Birkhoff's representation theorem for finite distributive lattices states that any finite distributive lattice is isomorphic to the lattice of order...
arXiv:2603.05847v1 Announce Type: new Abstract: Isomorphic factorizations of complete graphs originate from the seminal work of Frank Harary and collaborators, who initiated the systematic study...
arXiv:2603.05849v1 Announce Type: new Abstract: We resolve two problems pertaining to indefinite integral ternary quadratic forms, one highlighted by Margulis and the other initiated by...