Results 51 to 60 of about 425 (123)

An extended definition of Anosov representation for relatively hyperbolic groups

open access: yesJournal 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

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

The pants graph of a free group

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to the formation of a simplicial graph, referred to as the pants graph of a free group, consisting of all possible pants decompositions.
Donggyun Seo
wiley   +1 more source

The quasi‐redirecting boundary

open access: yesJournal of Topology, Volume 19, Issue 2, June 2026.
Abstract We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi‐geodesic rays and the space is equipped with a topology that is naturally invariant under quasi‐isometries.
Yulan Qing, Kasra Rafi
wiley   +1 more source

Computing geodesic paths encoding a curvature prior for curvilinear structure tracking. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Chen D, Mirebeau JM, Shu M, Cohen LD.
europepmc   +1 more source

A space of goals: the cognitive geometry of informationally bounded agents. [PDF]

open access: yesR Soc Open Sci, 2022
Archer K   +3 more
europepmc   +1 more source

Home - About - Disclaimer - Privacy