Results 121 to 130 of about 21,861 (198)

Acylindrical visual splittings and the Tits alternative for Artin groups

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.
William D. Cohen
wiley   +1 more source

Refinements on higher order Weil–Oesterlé bounds via a Serre type argument

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract Weil's theorem gives the most standard bound on the maximum number of points Nq(g)$N_q(g)$ of a curve of genus g$g$ over a finite field Fq$\mathbb {F}_q$. This bound was improved by Ihara and Oesterlé for larger genus. A recent point of view allows one to recover these bounds by solving a sequence of semi‐definite programs, and the first two ...
Emmanuel Hallouin   +2 more
wiley   +1 more source

Modular analogs of character formulas and minimal lifts of modular forms

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley   +1 more source

Cauchy identities for staircase matrices

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin   +2 more
wiley   +1 more source

Equivariant spaces of matrices of constant corank one

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We classify all irreducible G$G$‐equivariant subspaces of Hom(V1,V2)$\operatorname{Hom}(V_1,V_2)$ of constant corank one, where G$G$ is a reductive group over an algebraically closed field of characteristic zero and Vi$V_i$ are irreducible representations.
Ada Boralevi   +2 more
wiley   +1 more source

Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley   +1 more source

Simple homotopy theory for Fukaya categories

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

Association Between Donor HLA-DQ Heterodimers Group and Graft Loss in Kidney Transplant Recipients. [PDF]

open access: yesTransplant Direct
Thivierge MP   +6 more
europepmc   +1 more source

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