Results 41 to 50 of about 3,178 (180)
Computing supersingular endomorphism rings using inseparable endomorphisms
Journal of AlgebraWe give an algorithm for computing an inseparable endomorphism of a supersingular elliptic curve $E$ defined over $\mathbb F_{p^2}$, which, conditional on GRH, runs in expected $O(p^{1/2}(\log p)^2(\log\log p)^3)$ bit operations and requires $O((\log p)^2)$ storage.
Fuselier, Jenny +4 more
openaire +6 more sources
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
Infinity‐operadic foundations for embedding calculus
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
Descending Endomorphisms of Groups
, 2023 We define a descending endomorphism of a group as an endomorphism that in-duces a corresponding endomorphism in any homomorphic image of the group, such that the composition of the descending endomorphism with the homomorphism equals the composition of ...
Madhusudanan, Vinay +2 more
core
Combinatorial zeta functions counting triangles
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard +3 more
wiley +1 more source
Quasicompact and Riesz endomorphisms of Banach algebras
, 2005 Let B be a unital commutative semi-simple Banach algebra. We study endomorphisms of B which are also quasicompact operators or Riesz operators. Clearly compact and power compact endomorphisms are Riesz and hence quasicompact.
Feinstein, Joel F., Kamowitz, Herbert
core +1 more source
Centralizers in endomorphism rings
Journal of Algebra, 2010 We prove that the centralizer Cen(f) in Hom_R(M,M) of a nilpotent endomorphism f of a finitely generated semisimple left R-module M (over an arbitrary ring R) is the homomorphic image of the opposite of a certain Z(R)-subalgebra of the full m x m matrix algebra M_m(R[z]), where m is the dimension (composition length) of ker(f).
Drensky, Vesselin +2 more
openaire +3 more sources
Convex delay endomorphisms [PDF]
Communications in Mathematical Physics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rovella, A., Vilamajó, F.
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Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
Twisted ambidexterity in equivariant homotopy theory
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source