Results 11 to 20 of about 1,593 (46)
Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley +1 more source
The six operations in topology
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In this paper, we show that the six functor formalism for sheaves on locally compact Hausdorff topological spaces, as developed, for example,‐ in Kashiwara and Schapira's book Sheaves on Manifolds, can be extended to sheaves with values in any closed symmetric monoidal ∞$\infty$‐category which is stable and bicomplete. Notice that, since we do
Marco Volpe
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Equivariant Hilbert and Ehrhart series under translative group actions
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
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Enumeration and Construction of Row‐Column Designs
Journal of Combinatorial Designs, Volume 33, Issue 9, Page 357-372, September 2025.ABSTRACT We computationally completely enumerate a number of types of row‐column designs up to isotopism, including double, sesqui, and triple arrays as known from the literature, and two newly introduced types that we call mono arrays and AO‐arrays. We calculate autotopism group sizes for the designs we generate.
Gerold Jäger +3 more
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Banach algebras generated by an invertible isometry of an $L^p$-space
, 2014 We provide a complete description of those Banach algebras that are generated by an invertible isometry of an $L^p$-space together with its inverse. Examples include the algebra $PF_p(\mathbb{Z})$ of $p$-pseudofunctions on $\mathbb{Z}$, the commutative ...
Gardella, Eusebio, Thiel, Hannes
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Geometric realizations of the s‐weak order and its lattice quotients
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For an n$n$‐tuple s${\bm{s}}$ of nonnegative integers, the s${\bm{s}}$‐weak order is a lattice structure on s${\bm{s}}$‐trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, and the forcing order of the s${\bm{s}}$‐weak order in terms of combinatorial objects ...
Eva Philippe, Vincent Pilaud
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On the one‐dimensional polynomial, regular, and regulous images of closed balls and spheres
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We present a full geometric characterization of the one‐dimensional (semialgebraic) images S$S$ of either n$n$‐dimensional closed balls B¯n⊂Rn$\overline{{\mathcal {B}}}_n\subset {\mathbb {R}}^n$ or n$n$‐dimensional spheres Sn⊂Rn+1${\mathbb {S}}^n\subset {\mathbb {R}}^{n+1}$ under polynomial, regular, and regulous maps for some n⩾1$n\geqslant 1$
José F. Fernando
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Inverse semigroups associated to subshifts
, 2016 The dynamics of a one-sided subshift $\mathsf{X}$ can be modeled by a set of partially defined bijections. From this data we define an inverse semigroup $\mathcal{S}_{\mathsf{X}}$ and show that it has many interesting properties.
Starling, Charles
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InstaMap: instant‐NGP for cryo‐EM density maps
Acta Crystallographica Section D, Volume 81, Issue 4, Page 147-169, April 2025.Cryo‐EM density‐map inference, with fixed pose and contrast transfer function, using a multi‐resolution hash‐encoding framework called instant‐NGP, is described, together with its extension to heterogeneity inference by bending space with a per‐image vector field.Despite the parallels between problems in computer vision and cryo‐electron microscopy ...
Geoffrey Woollard +7 more
wiley +1 more source
Co-universal C*-algebras associated to aperiodic k-graphs [PDF]
, 2011 We construct a representation of each finitely aligned aperiodic k-graph \Lambda\ on the Hilbert space H^{ap} with basis indexed by aperiodic boundary paths in \Lambda.
Kang, Sooran, Sims, Aidan
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