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pro vyhledávání: '"ARAMAYONA, JAVIER"'
Autor:
Aramayona, Javier, De Pool, Rodrigo, Skipper, Rachel, Tao, Jing, Vlamis, Nicholas G., Wu, Xiaolei
We show that continuous epimorphisms between a class of subgroups of mapping class groups of orientable infinite-genus 2-manifolds with no planar ends are always induced by homeomorphisms. This class of subgroups includes the pure mapping class group
Externí odkaz:
http://arxiv.org/abs/2409.05502
We classify surface Houghton groups, as well as their pure subgroups, up to isomorphism, commensurability, and quasi-isometry.
Comment: 9 pages, 3 figures; v2 has a slightly expanded introduction with an example. To appear in Journal of Group Th
Comment: 9 pages, 3 figures; v2 has a slightly expanded introduction with an example. To appear in Journal of Group Th
Externí odkaz:
http://arxiv.org/abs/2312.15330
For every $n\ge 2$, the {\em surface Houghton group} $\mathcal B_n$ is defined as the asymptotically rigid mapping class group of a surface with exactly $n$ ends, all of them non-planar. The groups $\mathcal B_n$ are analogous to, and in fact contain
Externí odkaz:
http://arxiv.org/abs/2304.04698
Action operads and cloning systems are, respectively, the main ingredients in two approaches for axiomatically constructing Thompson-like groups due to Thumann and Witzel-Zaremsky. In this paper, we prove that action operads are equivalent to cloning
Externí odkaz:
http://arxiv.org/abs/2303.09873
A Cantor surface $\mathcal C_d$ is a non-compact surface obtained by gluing copies of a fixed compact surface $Y^d$ (a block), with $d+1$ boundary components, in a tree-like fashion. For a fixed subgroup $H
Externí odkaz:
http://arxiv.org/abs/2207.06671
We prove that the infinite family of asymptotic mapping class groups of surfaces of defined by Funar--Kapoudjian and Aramayona--Funar are of type $F_\infty$, thus answering questions of Funar-Kapoudjian-Sergiescu and Aramayona-Vlamis. As it turns out
Externí odkaz:
http://arxiv.org/abs/2110.05318
Addressing a question of Zaremsky, we give conditions on a finite simplicial graph which guarantee that the associated matching arc complex is connected and hyperbolic.
Comment: This note is part of R.d.P.'s Master Thesis at UAM-ICMAT, and of A.
Comment: This note is part of R.d.P.'s Master Thesis at UAM-ICMAT, and of A.
Externí odkaz:
http://arxiv.org/abs/2108.05811
We study injective homomorphisms between big mapping class groups of infinite-type surfaces. First, we construct (uncountably many) examples of surfaces without boundary whose (pure) mapping class groups are not co-Hopfian; these are the first exampl
Externí odkaz:
http://arxiv.org/abs/2101.07188
Autor:
Aramayona, Javier, Vlamis, Nicholas G.
Publikováno v:
In the Tradition of Thurston: Geometry and Topology, chapter 12, pages 459-496. Springer, 2020
We survey recent developments on mapping class groups of surfaces of infinite topological type.
Comment: v3: Proposition 4.12---as numbered in v2---was false and has been deleted in this version. v2: added cover image (illustration by Juan Pablo
Comment: v3: Proposition 4.12---as numbered in v2---was false and has been deleted in this version. v2: added cover image (illustration by Juan Pablo
Externí odkaz:
http://arxiv.org/abs/2003.07950
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