J. Alonso

activity

20112026

most citedOrderings and flexibility of some subgroups of

H o m e o_{+} (R)

7 citations · 12 across the 13 of their papers we have counts for

collaborators

13 papers

math.GR2026

Free product of bi-orderable group is bi-orderable: A simple dynamical proof

Juan Alonso, Cristóbal Rivas

We give a new proof of Vinogradov's theorem asserting that free product of biorderable groups is biorderable. Our proof relies on a simple dynamical construction that provides a bi…

math.GT2022

Lie algebras of curves and loop-bundles on surfaces

Juan Alonso, Miguel Paternain, Javier Peraza +1

W. Goldman and V. Turaev defined a Lie bialgebra structure on the $Z$ -module generated by free homotopy classes of loops of an oriented surface (i.e. the conjugacy classes…

math.DS2020

Generic Rotation Sets in Hyperbolic Surfaces

J. Alonso, J. Brum, A. Passeggi

We show that for generic homeomorphisms homotopic to the identity in a closed and oriented surface of genus $g > 1$ , the rotation set is given by a union of at most $2^{5 g - 3}$ convex…

math.GR2020★ 1 cited

On the geometry of positive cones in finitely generated groups

J. Alonso, Y. Antolín, J. Brum +1

We study the geometry of positive cones of left-invariant total orders (left-order, for short) in finitely generated groups. We introduce the \textit{Hucha property} and the \texit…

math.GR2019★ 1 cited

Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, I: Construction

Juan Alonso, Sébastien Alvarez, Dominique Malicet +2

Following the recent advances in the study of groups of circle diffeomorphisms, we describe an efficient way of classifying the topological dynamics of locally discrete, finitely g…

math.GR2017

Spaces of orders of some one-relator groups

Juan Alonso, Joaquin Brum

We show that certain orderable groups admit no isolated left orders. The groups we consider are cyclic amalgamations of a free group with a general orderable group, the HNN extensi…

math.DS2017

Planar Baumslag-Solitar actions

Juan Alonso, Cristobal Rivas, Juliana Xavier

Following previous work, where representations of $B S (1, n)$ by planar orientation preserving homeomorphisms with linear diagonalizable conjugating element was studied, we consider…

math.DS2017

One some planar Baumslag-Solitar actions

Juan Alonso, Nancy Guelman, Cristobal Rivas +1

Let $B S (1, n) = ⟨ a, b : ab a^{- 1} = b^{n} ⟩$ be the solvable Baumslag-Solitar group for $n \geq 2$ . We study representations of $B S (1, n)$ on the plane by orientation pre…

math.GR2016★ 7 cited

Orderings and flexibility of some subgroups of $H o m e o_{+} (R)$

Juan Alonso, Joaquin Brum, Cristóbal Rivas

In this work we exhibit flexibility phenomena for some (countable) groups acting by order preserving homeomorphisms of the line. More precisely, we show that if a left orderable gr…

math.GT2014★ 2 cited

On laminar groups, Tits alternatives, and convergence group actions on $S^{2}$

Juan Alonso, Hyungryul Baik, Eric Samperton

Following previous work of the second author, we establish more properties of groups of circle homeomorphisms which admit invariant laminations. In this paper, we focus on a certai…

math.DS2013

Actions of solvable Baumslag-Solitar groups on surfaces with (pseudo-)Anosov elements

Juan Alonso, Nancy Guelman, Juliana Xavier

Let $B S (1, n) =< a, b : ab a^{- 1} = b^{n} >$ be the solvable Baumslag-Solitar group, where $n \geq 2$ . We study representations of $B S (1, n)$ by homeomorphisms of closed surfaces with…

math.GR2012

Measure free factors of free groups

Juan Alonso

Measure free factors are a generalization of the notion of free factors of a group, in a measure theoretic context. We find new families of cyclic measure free factors of free grou…

math.GR2011★ 1 cited

JSJ decompositions of Quadratic Baumslag-Solitar groups