2024/07/29 by Jingyin Huang, Huang, Jingyin, Damian Osajda +3
Mathematics · #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2407.19940
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 and classification results for these groups, including computation of outer automorphism groups, commensurability classification, quasi-isometric rigidity, measure equivalence rigidity, orbit equivalence rigidity, rigidity of lattice embedding, and rigidity of cross-product von Neumann algebra.