Results 161 to 170 of about 8,379 (259)
Stable commutator length is rational in free groups [PDF]
, 2009 For any group, there is a natural (pseudo-)norm on the vector space B^H_1 of real homogenized (group) 1 -boundaries, called the stable commutator length norm.
Calegari, Danny
core
Towards the boundary of the fine curve graph
Journal 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
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
On the relation between one-sided duoness and commutators
Open MathematicsThis article studies the structure of rings RR over which the 2×22\times 2 upper triangular matrix rings with the same diagonal are right duo, denoted by D2(R){D}_{2}\left(R).
Kim Nam Kyun, Lee Yang
doaj +1 more source
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
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
Mathematical 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
Groups whose non-normal subgroups have small commutator subgroup
, 2007 The structure of groups whose non-normal subgroups have a finite commutator subgroup is investigated. In particular, it is proved that if k is a positive integer and G is a locally graded group in which every non-normal subgroup has finite commutator ...
de Giovanni, F. +2 more
core
Linear and Multilinear AlgebraLet $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$. Then $U$ decomposes the Banach space $X$ as $X = X_1 \oplus X_2$ with respect to which decomposition we have $U = \left(\begin{matrix} I_1 & 0 \\ 0 & -I_2 \end{matrix} \right)$, where $I_i$ is the identity operator on the closed subspace $X_i$ ($i=1, 2$).
openaire +3 more sources
Electrical engineering & Electromechanics, 2013 By means of a mathematical experiment, electromagnetic and electromechanical processes in an independent electric power supply system based on an asynchronized generator with a three-phase modulated exciter are investigated. The processes are analyzed to
K.M. Vasyliv
doaj