Results 151 to 160 of about 4,370 (257)

Infinity‐operadic foundations for embedding calculus

open access: yesJournal 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

Difference terms and commutators

open access: yes, 1996
We show that if a single algebra has a difference term, then many definitions of the commutator coincide. In particular, this applies to the usual TC-commutator, to the 2-terms commutator and to all the n-ary (cyclic) generalizations we shall introduce ...
Lipparini, P, P. Lipparini
core  

Towards the boundary of the fine curve graph

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract The fine curve graph was introduced as a geometric tool to study homeomorphisms of surfaces. In this paper, we study the Gromov boundary of this space and the local topology near points associated with certain foliations and laminations. We then give several applications including finding dynamically explicit elements with positive stable ...
Jonathan Bowden   +2 more
wiley   +1 more source

Combinatorial zeta functions counting triangles

open access: yesJournal 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

Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants

open access: yesJournal 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

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6492-6506, 15 May 2026.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Boundedness of fractional sublinear operators on weighted grand Herz-Morrey spaces with variable exponents

open access: yesOpen Mathematics
This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
doaj   +1 more source

A LOWER BOUND CRITERION FOR ITERATED COMMUTATORS

open access: yes, 2013
. We consider iterated commutators of multiplication by a symbol function and smooth Calderón-Zygmund operators, described by Fourier multipliers of homogeneity 0.
Dalenc, Laurent   +3 more
core  

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