Results 31 to 40 of about 1,418 (58)

On Veech groups of infinite superelliptic curves

open access: yesComplex Manifolds
We study infinite superelliptic curves as translation surfaces and explore their Veech groups. These objects are branched covering of the complex plane, branching over infinitely many points.
Maluendas Camilo Ramírez
doaj   +1 more source

Limit pretrees for free group automorphisms: existence

open access: yesForum of Mathematics, Sigma
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
doaj   +1 more source

Growth Functions of Fr-sets [PDF]

open access: yes, 2012
2010 Mathematics Subject Classification: 05C30, 20E08, 20F65.In this paper we consider an open problem from [1], regarding the description of the growth functions of the free group acts.
Lomond, Jonny
core  

Stable Higgs bundles over positive principal elliptic fibrations

open access: yes, 2018
Let $M$ be a compact complex manifold of dimension at least three and $\Pi : M\rightarrow X$ a positive principal elliptic fibration, where $X$ is a compact K\"ahler orbifold. Fix a preferred Hermitian metric on $M$.
Biswas, Indranil   +2 more
core   +1 more source

Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

open access: yesAnalysis and Geometry in Metric Spaces
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
doaj   +1 more source

Hyperfiniteness of boundary actions of acylindrically hyperbolic groups

open access: yesForum of Mathematics, Sigma
We prove that, for any countable acylindrically hyperbolic group G, there exists a generating set S of G such that the corresponding Cayley graph $\Gamma (G,S)$ is hyperbolic, $|\partial \Gamma (G,S)|>2$ , the natural action of G on ...
Koichi Oyakawa
doaj   +1 more source

Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups

open access: yesAnalysis and Geometry in Metric Spaces
We show that infinite cyclic subgroups of groups acting uniformly properly on injective metric spaces are uniformly undistorted. In the special case of hierarchically hyperbolic groups, we use this to study translation lengths for actions on the ...
Abbott Carolyn   +3 more
doaj   +1 more source

On homeomorphisms and quasi-isometries of the real line [PDF]

open access: yes, 2006
We show that the group of all pl-homeomorphisms of the reals having bounded slopes surjects on the group $QI({\Bbb R})$ of all quasi-isometries of ${\Bbb R}$.
Sankaran, Parameswaran
core   +2 more sources

Addendum to "Commensurations and Subgroups of Finite Index of Thompson's Group F"

open access: yes, 2013
We show that the abstract commensurator of Thompson's group F is composed of four building blocks: two isomorphism types of simple groups, the multiplicative group of the positive rationals and a cyclic group of order two. The main result establishes the
Burillo, José   +2 more
core   +1 more source

Rigidity phenomena and the statistical properties of group actions on $\text {CAT}(0)$ cube complexes

open access: yesForum of Mathematics, Sigma
We compare the marked length spectra of some pairs of proper and cocompact cubical actions of a nonvirtually cyclic group on $\mathrm {CAT}(0)$ cube complexes.
Stephen Cantrell, Eduardo Reyes
doaj   +1 more source

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