Results 51 to 60 of about 415 (151)

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

Neck‐pinching of CP1$\mathbb {C}{\rm P}^1$‐structures in the PSL2C${\rm PSL}_2\mathbb {C}$‐character variety

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We characterize a certain neck‐pinching degeneration of (marked) CP1$\mathbb {C}{\rm P}^1$‐structures on a closed oriented surface S$S$ of genus at least two. In a more general setting, we take a path of CP1$\mathbb {C}{\rm P}^1$‐structures Ct(t⩾0)$C_t \nobreakspace (t \geqslant 0)$ on S$S$ that leaves every compact subset in its deformation ...
Shinpei Baba
wiley   +1 more source

Gromov hyperbolicity in the free quasiworld. I [PDF]

, 2022
Qingshan Zhou, Saminathan Ponnusamy
openalex   +1 more source

Coboundary expansion and Gromov hyperbolicity

Groups, Geometry, and Dynamics
We prove that if a compact n -manifold admits a sequence of residual covers that form a coboundary expander in dimension  n-2 , then the manifold has Gromov ...
Dawid Kielak, Piotr W. Nowak
openaire   +2 more sources

Relatively dominated representations from eigenvalue gaps and limit maps. [PDF]

Geom Dedic, 2023
Zhu F.
europepmc   +1 more source

Gromov hyperbolic groups and the Macaev norm [PDF]

Pacific Journal of Mathematics, 2006
Let \(\Gamma\) be a Gromov hyperbolic group with a finite set \(A\) of generators. One can consider three quantities: the Coornaert-Papadopoulos topological entropy \(h_{top}(\Sigma(\infty))\) of the subshift associated to \((\Gamma,A)\), Voiculescu's invariant \(k^-_\infty(\lambda_A)\), and the growth entropy \(\text{gr}(\Gamma,A)\). The author proves
openaire   +2 more sources

Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative. [PDF]

Probab Theory Relat Fields, 2022
Aoun R, Sert C.
europepmc   +1 more source

Null Distance and Convergence of Lorentzian Length Spaces. [PDF]

Ann Henri Poincare, 2022
Kunzinger M, Steinbauer R.
europepmc   +1 more source

Bowditch representations in Gromov-hyperbolic spaces : characterizations, dynamics of $\mathrm{Out}(\mathbb{F}_2)$ and recognition [PDF]

Suzanne Schlich
openalex   +2 more sources

Equivalence of primitive-stable and Bowditch actions of the free group of rank two on Gromov-hyperbolic spaces [PDF]

, 2022
Suzanne Schlich
openalex   +1 more source