Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Huang, JingYin"'
Autor:
Horbez, Camille, Huang, Jingyin
Given a right-angled Artin group $G$ with finite outer automorphism group, we determine which right-angled Artin groups are measure equivalent (or orbit equivalent) to $G$.
Externí odkaz:
http://arxiv.org/abs/2412.08560
We construct closed, aspherical, smooth 4-manifolds that are homeomorphic but not diffeomorphic. These provide counterexamples to a smooth analog of the Borel conjecture in dimension four. Our technique is to apply the `reflection group trick' of the
Externí odkaz:
http://arxiv.org/abs/2411.19400
We compute the automorphism group of the intersection graph of many large-type Artin groups. This graph is an analogue of the curve graph of mapping class groups but in the context of Artin groups. As an application, we deduce a number of rigidity an
Externí odkaz:
http://arxiv.org/abs/2407.19940
Autor:
Huang, Jingyin
We show the $K(\pi,1)$-conjecture holds for Artin groups whose Dynkin diagrams are complete bipartite (edge labels are allowed to be arbitrary), answering a question of J. McCammond. Along the way, we treat several related families of hyperbolic type
Externí odkaz:
http://arxiv.org/abs/2405.12068
Autor:
Huang, Jingyin
Let $\Delta$ be the Artin complex of the Artin group of type $D_n$. This complex is also called the spherical Deligne complex of type $D_n$. We show certain types of 6-cycles in the 1-skeleton of $\Delta$ either have a center, which is a vertex adjac
Externí odkaz:
http://arxiv.org/abs/2405.11374
Autor:
Huang, Jingyin, Mj, Mahan
We develop a framework for common commensurators of discrete subgroups of lattices in isometry groups of CAT(0) spaces. We show that the Greenberg-Shalom hypothesis about discreteness of common commensurators of Zariski dense subgroups and lattices f
Externí odkaz:
http://arxiv.org/abs/2310.04876
Autor:
Horbez, Camille, Huang, Jingyin
Let $G$ be a right-angled Artin group with $|\mathrm{Out}(G)|<+\infty$. We prove that if a countable group $H$ with bounded torsion is measure equivalent to $G$, with an $L^1$-integrable measure equivalence cocycle towards $G$, then $H$ is finitely g
Externí odkaz:
http://arxiv.org/abs/2309.12147
Autor:
Huang, Jingyin
We show that for a large class of Artin groups with Dynkin diagrams being a tree, the $K(\pi,1)$-conjecture holds. We also establish the $K(\pi,1)$-conjecture for another class of Artin groups whose Dynkin diagrams contain a cycle, which applies to s
Externí odkaz:
http://arxiv.org/abs/2305.16847
Autor:
Haettel, Thomas, Huang, Jingyin
Garside groups are combinatorial generalizations of braid groups which enjoy many nice algebraic, geometric, and algorithmic properties. In this article we propose a method for turning the direct product of a group $G$ by $\mathbb{Z}$ into a Garside
Externí odkaz:
http://arxiv.org/abs/2305.11622
Autor:
Haettel, Thomas, Huang, Jingyin
In this article we study combinatorial non-positive curvature aspects of various simplicial complexes with natural $\widetilde A_n$ shaped simplicies, including Euclidean buildings of type $\widetilde A_n$ and Cayley graphs of Garside groups and thei
Externí odkaz:
http://arxiv.org/abs/2211.03257