Cover Image

A survey on quasi-isometries of pairs: invariants and rigidity

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hughes, Sam, Martínez-Pedroza, Eduardo, Saldaña, Luis Jorge Sánchez
Format:	Preprint
Published:	2021
Subjects:	Group Theory Geometric Topology Metric Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Quasi-isometry invariance of relative filling functions
by: Hughes, Sam, et al.
Published: (2021)

Convex-cocompact representations into the isometry group of the infinite-dimensional hyperbolic space
by: Xu, David
Published: (2024)

Coarse cubical rigidity
by: Fioravanti, Elia, et al.
Published: (2022)

Hyperbolic spaces not quasi-isometric to curve complexes
by: Aramayona, Javier, et al.
Published: (2025)

The quasi-isometry invariance of the Coset Intersection Complex
by: Abbott, Carolyn, et al.
Published: (2024)

A Combinatorial Structure for Many Hierarchically Hyperbolic Spaces
by: Hagen, Mark, et al.
Published: (2023)

From Trees to Tripods: Proof of $K(π,1)$ for Artin groups with $ABI$-type spherical parabolics
by: Hoda, Nima, et al.
Published: (2026)

The number of ends of big mapping class groups
by: Oh, Josiah, et al.
Published: (2025)

Cycles in spherical Deligne complexes and application to $K(π,1)$-conjecture for Artin groups
by: Huang, Jingyin
Published: (2024)

Cyclic orders and actions of Leary--Minasyan groups on coarse $\mathrm{PD}(n)$ spaces
by: Banerjee, Arka, et al.
Published: (2025)

Disintegrating the curve complex
by: Bestvina, Mladen, et al.
Published: (2025)

353-combinatorial curvature and the $3$-dimensional $K(π,1)$ conjecture
by: Huang, Jingyin, et al.
Published: (2025)

Contractible Vietoris-Rips complexes of $\mathbb{Z}^n$
by: Zaremsky, Matthew C. B.
Published: (2024)

Topological and Dynamic Properties of the Sublinearly Morse Boundary and the Quasi-Redirecting Boundary
by: Garcia, Jacob, et al.
Published: (2024)

Stable cylinders and fine structures for hyperbolic groups and curve graphs
by: Petyt, Harry, et al.
Published: (2025)

Characterizations of Stability via Morse Limit Sets
by: Garcia, Jacob
Published: (2023)

Bestvina metric and tree reduction for $K(π,1)$-conjecture
by: Huang, Jingyin
Published: (2026)

Hyperbolicity via Geodesic Stability
by: Fink, Elisabeth
Published: (2015)

On uniqueness of coarse median structures
by: Fioravanti, Elia, et al.
Published: (2025)

Labeled four cycles and the $K(π,1)$-conjecture for Artin groups
by: Huang, Jingyin
Published: (2023)

Interactions between Coarse Homotopy and Ends on Proper Geodesic Spaces
by: Ashley, Bradley
Published: (2025)

String graphs are quasi-isometric to planar graphs
by: Davies, James
Published: (2025)

Spherical volume and spherical Plateau problem
by: Song, Antoine
Published: (2022)

Proper Almost-Homogeneous Domains of the Einstein Universe
by: Chalumeau, Adam, et al.
Published: (2024)

Rigidity of proper almost-homogeneous domains in positive flag manifolds
by: Galiay, Blandine
Published: (2024)

Conformal dynamics at infinity for groups with contracting elements
by: Yang, Wenyuan
Published: (2022)

Subspace stabilisers in hyperbolic lattices
by: Belolipetsky, Mikhail, et al.
Published: (2021)

Profinite rigidity of Kähler groups: Riemann surfaces and subdirect products
by: Hughes, Sam, et al.
Published: (2025)

Asymptotic Dimension of Minor-Closed Families and Assouad-Nagata Dimension of Surfaces
by: Bonamy, Marthe, et al.
Published: (2020)

The bicorn curves on closed surfaces
by: Katayama, Takuya, et al.
Published: (2025)

Induced Minors, Asymptotic Dimension, and Baker's Technique
by: Hickingbotham, Robert
Published: (2025)

Assouad-Nagata dimension of minor-closed metrics
by: Liu, Chun-Hung
Published: (2023)

Geometric rigidity of quasi-isometries in horospherical products
by: Ferragut, Tom
Published: (2022)

Ahlfors regularity of Patterson-Sullivan measures of Anosov groups and applications
by: Dey, Subhadip, et al.
Published: (2024)

A coarse invariant
by: Fox, Addison, et al.
Published: (2011)

Categorical characterisations of quasi-isometric embeddings
by: Tang, Robert
Published: (2024)

Relative numbers of ends and quasi-median graphs
by: Genevois, Anthony
Published: (2026)

Length minimization of filling pairs on hyperbolic surfaces
by: An, Ni, et al.
Published: (2026)

Geometric invariants of locally compact groups: the homological perspective
by: Bux, Kai-Uwe, et al.
Published: (2024)

Integrable measure equivalence rigidity of right-angled Artin groups via quasi-isometry
by: Horbez, Camille, et al.
Published: (2023)