Results 111 to 120 of about 1,263,781 (250)
Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
A note on group algebras of $p$-primary abelian groups [PDF]
, 1995 summary:Suppose $p$ is a prime number and $R$ is a commutative ring with unity of characteristic 0 in which $p$ is not a unit. Assume that $G$ and $H$ are $p$-primary abelian groups such that the respective group algebras $RG$ and $RH$ are $R$-isomorphic.
Ullery, William
core
Annihilation of $\text{tor}_{Z_{p}}(\mathcal G_{K,S}^{ab})$ for real abelian extensions $K/Q$
Communications in Advanced Mathematical Sciences, 2018 Let $K$ be a real abelian extension of $\mathbb{Q}$. Let $p$ be a prime number, $S$ the set of $p$-places of $K$ and ${\mathcal G}_{K,S}$ the Galois group of the maximal $S \cup \{\infty\}$-ramified pro-$p$-extension of $K$ (i.e., unramified outside $p ...
Georges Gras
doaj +1 more source
Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Symmetries of abelian ideals of Borel subalgebras
, 2013 Elaborating on a paper by Suter, we provide a detailed description of the automorphism group of the poset of abelian ideals in a Borel subalgebra of a finite dimensional complex simple Lie algebra.
Cellini, Paola +2 more
openaire +2 more sources
An extended definition of Anosov representation for relatively hyperbolic groups
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Counting ideals in abelian number fields
Journal of Number TheoryAlready Dedekind and Weber considered the problem of counting integral ideals of norm at most x in a given number field K. Here we improve on the existing results in case K/Q is abelian and has degree at least four. For these fields, we obtain as a consequence an improvement of the available results on counting pairs of coprime ideals each having norm ...
Languasco, A. +2 more
openaire +5 more sources
On the lattice of right ideals of the endomorphism ring of an abelian group [PDF]
Bulletin of the Australian Mathematical Society, 1988 Let A be an abelian group, let ∧ = End (A), and assume that A is a flat left ∧-module. Then σ = { right ideals I ⊂ ∧ | IA = A} generates a linear topology oil ∧. We prove that Hom(A,·) is an equivalence from the category of those groups B ⊂ An satisfying B = Hom(A, B)A, onto the category of σ-closed submodules of finitely generated free right ∧-modules.
openaire +1 more source
2+1 abelian `gauge theory' inspired by ideal hydrodynamics
, 2006 We study a possibly integrable model of Abelian gauge fields on a two-dimensional surface M, with volume form mu. It has the same phase-space as ideal hydrodynamics, a coadjoint orbit of the volume-preserving diffeomorphism group of M.
Krishnaswami, G.S.
core +1 more source
On Abelian and Homomorphic Secret Sharing Schemes [PDF]
, 2020 Abelian secret sharing schemes (SSS) are generalization of multi-linear SSS and similar to them, abelian schemes are homomorphic. There are numerous results on linear and multi-linear SSSs in the literature and a few ones on homomorphic SSSs too ...
Amir Jafari, Shahram Khazaei
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