Results 21 to 30 of about 58 (51)
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley +1 more source
Double Copy From Tensor Products of Metric BV■‐Algebras
Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source
The category of a partitioned fan
Abstract In this paper the notion of an admissible partition of a simplicial polyhedral fan is introduced and the category of a partitioned fan is defined as a generalisation of the τ$\tau$‐cluster morphism category of a finite‐dimensional algebra. This establishes a complete lattice of categories around the τ$\tau$‐cluster morphism category, which is ...
Maximilian Kaipel
wiley +1 more source
Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley +1 more source
On finite generation in magnitude (co)homology and its torsion
Abstract The aim of this paper is to apply the framework developed by Sam and Snowden to study structural properties of graph homologies, in the spirit of Ramos, Miyata and Proudfoot. Our main results concern the magnitude homology of graphs introduced by Hepworth and Willerton, and we prove that it is a finitely generated functor (on graphs of bounded
Luigi Caputi, Carlo Collari
wiley +1 more source
Abstract We define a class of associative algebras generalizing ‘clannish algebras’, as introduced by the second author, but also incorporating semilinear structure, like a skew polynomial ring. Clannish algebras generalize the well‐known ‘string algebras’ introduced by Butler and Ringel.
Raphael Bennett‐Tennenhaus +1 more
wiley +1 more source
Link splitting deformation of colored Khovanov–Rozansky homology
Abstract We introduce a multiparameter deformation of the triply‐graded Khovanov–Rozansky homology of links colored by one‐column Young diagrams, generalizing the “y$y$‐ified” link homology of Gorsky–Hogancamp and work of Cautis–Lauda–Sussan. For each link component, the natural set of deformation parameters corresponds to interpolation coordinates on ...
Matthew Hogancamp +2 more
wiley +1 more source
TomoPyUI: a user‐friendly tool for rapid tomography alignment and reconstruction
In this study, we introduce TomoPyUI, a user‐friendly interface for the TomoPy tomography data processing package, designed to streamline and enhance the management of synchrotron and neutron computed tomography data. TomoPyUI, operating within a Jupyter environment, incorporates GPU‐accelerated algorithms and a structured data management system ...
Samuel S. Welborn +2 more
wiley +1 more source
Stabilization distance bounds from link Floer homology
Abstract We consider the set of connected surfaces in the 4‐ball with boundary a fixed knot in the 3‐sphere. We define the stabilization distance between two surfaces as the minimal g$g$ such that we can get from one to the other using stabilizations and destabilizations through surfaces of genus at most g$g$.
András Juhász, Ian Zemke
wiley +1 more source
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The strongly annihilating-submodule graph of a module
2020Summary: In this paper, we define the notion of strongly annihilating-submodule graph of modules. This graph is a straightforward common generalization of the annihilating-submodule graph and the annihilating-ideal graph. In addition to providing the properties of this graph in general, we investigate the behavior of the graph when modules are reduced ...
FarziSafarabadi, Ahadollah +1 more
openaire +2 more sources

