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pro vyhledávání: '"Fossas, Ariadna"'
Autor:
Fossas, Ariadna, Parlier, Hugo
We associate to triangulations of infinite type surface a type of flip graph where simultaneous flips are allowed. Our main focus is on understanding exactly when two triangulations can be related by a sequence of flips. A consequence of our results
Externí odkaz:
http://arxiv.org/abs/2011.02324
Autor:
Fossas, Ariadna
Cette thèse concerne le groupe T de Thompson. Ce groupe simple infini et finiment présenté est généralement vu comme un sous-groupe du groupe des homéomorphismes dyadiques du cercle unité qui sont linéaires par morceaux et préservent l'orien
Externí odkaz:
http://www.theses.fr/2012GRENM104/document
We study arc graphs and curve graphs for surfaces of infinite topological type. First, we define an arc graph relative to a finite number of (isolated) punctures and prove that it is a connected, uniformly hyperbolic graph of infinite diameter; this
Externí odkaz:
http://arxiv.org/abs/1510.07805
Autor:
Fossas, Ariadna, Parlier, Hugo
We define and study analogs of curve graphs for infinite type surfaces. Our definitions use the geometry of a fixed surface and vertices of our graphs are infinite multicurves which are bounded in both a geometric and a topological sense. We show tha
Externí odkaz:
http://arxiv.org/abs/1410.3136
Autor:
Fossas, Ariadna
In this paper we construct a cellular complex which is an infinite analogue to Stasheff's associahedra. We prove that it is contractible and state that its (combinatorial) automorphism group is isomorphic to a semi-direct product of R.J. Thompson's g
Externí odkaz:
http://arxiv.org/abs/1303.4374
Autor:
Fossas, Ariadna, Nguyen, Maxime
We consider a planar surface \Sigma of infinite type which has the Thompson group T as asymptotic mapping class group. We construct the asymptotic pants complex C of \Sigma and prove that the group T acts transitively by automorphisms on it. Finally,
Externí odkaz:
http://arxiv.org/abs/1104.2983
Autor:
Fossas, Ariadna
In this paper we characterize the elements of PSL(2,Z), as a subgroup of Thompson group T, in the language of reduced tree pair diagrams and in terms of piecewise linear maps as well. Actually, we construct the reduced tree pair diagram for every ele
Externí odkaz:
http://arxiv.org/abs/1006.0508
Publikováno v:
Proceedings of the American Mathematical Society, 2017 Nov 01. 145(11), 4995-5006.
Externí odkaz:
https://www.jstor.org/stable/90013162
Autor:
Fossas, Ariadna, Parlier, Hugo
Publikováno v:
Groups, Geometry, and Dynamics. 16:1165-1178
We associate to triangulations of infinite type surface a type of flip graph where simultaneous flips are allowed. Our main focus is on understanding exactly when two triangulations can be related by a sequence of flips. A consequence of our results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acb515b18d2de7deb1fa2bb3071c150d
https://doi.org/10.4171/ggd/685
https://doi.org/10.4171/ggd/685
Autor:
Fossas, Ariadna, Nguyen, Maxime
Publikováno v:
Publicacions Matemàtiques, 2012 Jan 01. 56(2), 305-326.
Externí odkaz:
https://www.jstor.org/stable/43736998