[HTML][HTML] Hyperbolic models for cat (0) spaces
We introduce two new tools for studying CAT (0) spaces: curtains, versions of cubical
hyperplanes; and the curtain model, a counterpart of the curve graph. These tools shed new …
hyperplanes; and the curtain model, a counterpart of the curve graph. These tools shed new …
On the detection and precise localization of merging black holes events through strong gravitational lensing
E Wempe, LVE Koopmans… - Monthly Notices of …, 2024 - academic.oup.com
To unlock the full spectrum of astrophysical and cosmological applications of gravitational-
wave detections, it is essential to localize the associated black hole mergers to high …
wave detections, it is essential to localize the associated black hole mergers to high …
Manhattan geodesics and the boundary of the space of metric structures on hyperbolic groups
S Cantrell, E Reyes - Commentarii Mathematici Helvetici, 2024 - ems.press
For any non-elementary hyperbolic group, we find an outer automorphism invariant
geodesic bicombing for the space of pseudometric structures on equipped with a …
geodesic bicombing for the space of pseudometric structures on equipped with a …
Short hierarchically hyperbolic groups I: uncountably many coarse median structures
G Mangioni - arXiv preprint arXiv:2410.09232, 2024 - arxiv.org
We prove that the mapping class group of a sphere with five punctures admits uncountably
many non-equivalent, coarsely equivariant coarse median structures, falsifying a folklore …
many non-equivalent, coarsely equivariant coarse median structures, falsifying a folklore …
A lensing multi-messenger channel: Combining LIGO-Virgo-Kagra lensed gravitational-wave measurements with Euclid observations
E Wempe, LVE Koopmans, A Wierda… - arXiv preprint arXiv …, 2022 - arxiv.org
Despite forecasts of upcoming detections, it remains unclear how feasible the full spectrum
of applications of strongly-lensed gravitational-wave observations are. One application may …
of applications of strongly-lensed gravitational-wave observations are. One application may …
Currents relative to a malnormal subgroup system
Y Guerch - arXiv preprint arXiv:2112.01112, 2021 - arxiv.org
This paper introduces a new topological space associated with a nonabelian free group $
F_n $ of rank $ n $ and a malnormal subgroup system $\mathcal {A} $ of $ F_n $, called the …
F_n $ of rank $ n $ and a malnormal subgroup system $\mathcal {A} $ of $ F_n $, called the …
On the geometry of coned-off spaces and Cannon–Thurston maps
P Sardar, R Tomar - Proceedings-Mathematical Sciences, 2025 - Springer
A typical question addressed in this paper is the following. Suppose\(Z\subset Y\subset X\)
are hyperbolic spaces where Z is quasiconvex in both Y and X. Let\(\widehat {Y}\) …
are hyperbolic spaces where Z is quasiconvex in both Y and X. Let\(\widehat {Y}\) …
Separation and relative quasiconvexity criteria for relatively geometric actions
E Einstein, D Groves, T Ng - Groups, Geometry, and Dynamics, 2024 - ems.press
Bowditch characterized relative hyperbolicity in terms of group actions on fine hyperbolic
graphs with finitely many edge orbits and finite edge stabilizers. In this paper, we define …
graphs with finitely many edge orbits and finite edge stabilizers. In this paper, we define …
(Non-) Recognizing Spaces for Stable Subgroups
S Balasubramanya, M Chesser, A Kerr… - arXiv preprint arXiv …, 2023 - arxiv.org
In this note, we consider the notion of what we call\emph {recognizing spaces} for stable
subgroups of a given group. When a group $ G $ is a mapping class group or right-angled …
subgroups of a given group. When a group $ G $ is a mapping class group or right-angled …
Relative cubulation of small cancellation free products
E Einstein, T Ng - arXiv preprint arXiv:2111.03008, 2021 - arxiv.org
We expand the class of groups with relatively geometric actions on CAT (0) cube complexes
by proving that it is closed under $ C'(\frac16) $--small cancellation free products. We build …
by proving that it is closed under $ C'(\frac16) $--small cancellation free products. We build …