New Garside structures and applications to Artin groups
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 …
algebraic, geometric, and algorithmic properties. In this article we propose a method for …
A link condition for simplicial complexes, and CUB spaces
T Haettel - arXiv preprint arXiv:2211.07857, 2022 - arxiv.org
We motivate the study of metric spaces with a unique convex geodesic bicombing, which we
call CUB spaces. These encompass many classical notions of nonpositive curvature, such …
call CUB spaces. These encompass many classical notions of nonpositive curvature, such …
Parabolic subgroups inside parabolic subgroups of Artin groups
M Blufstein, L Paris - Proceedings of the American Mathematical Society, 2023 - ams.org
We prove that a parabolic subgroup $ P $ contained in another parabolic subgroup $ P'$ of
an Artin group $ A $ is a parabolic subgroup of $ P'$. This answers a question of Godelle …
an Artin group $ A $ is a parabolic subgroup of $ P'$. This answers a question of Godelle …
Labeled four cycles and the -conjecture for Artin groups
J Huang - arXiv preprint arXiv:2305.16847, 2023 - arxiv.org
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 …
1) $-conjecture holds. We also establish the $ K (\pi, 1) $-conjecture for another class of Artin …
Lattices, Garside structures and weakly modular graphs
In this article we study combinatorial non-positive curvature aspects of various simplicial
complexes with natural A˜ n shaped simplices, including Euclidean buildings of type A˜ n …
complexes with natural A˜ n shaped simplices, including Euclidean buildings of type A˜ n …
Cycles in spherical Deligne complexes and application to -conjecture for Artin groups
J Huang - arXiv preprint arXiv:2405.12068, 2024 - arxiv.org
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 …
complete bipartite (edge labels are allowed to be arbitrary), answering a question of J …
Intersection of parabolic subgroups in even Artin groups of FC-type
INTERSECTION OF PARABOLIC SUBGROUPS IN EVEN ARTIN GROUPS OF FC-TYPE
Page 1 Proceedings of the Edinburgh Mathematical Society (2022) 65, 938–957 doi:10.1017/S0013091522000414 …
Page 1 Proceedings of the Edinburgh Mathematical Society (2022) 65, 938–957 doi:10.1017/S0013091522000414 …
[HTML][HTML] Characterizations of higher rank hyperbolicity
T Goldhirsch, U Lang - Mathematische Zeitschrift, 2023 - Springer
Characterizations of higher rank hyperbolicity | Mathematische Zeitschrift Skip to main content
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SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
Acylindrical hyperbolicity for Artin groups with a visual splitting
R Charney, A Martin, R Morris-Wright - arXiv preprint arXiv:2404.11393, 2024 - arxiv.org
We establish a criterion that implies the acylindrical hyperbolicity of many Artin groups
admitting a visual splitting. This gives a variety of new examples of acylindrically hyperbolic …
admitting a visual splitting. This gives a variety of new examples of acylindrically hyperbolic …
Group actions on injective spaces and Helly graphs
T Haettel - arXiv preprint arXiv:2307.00414, 2023 - arxiv.org
These are lecture notes for a minicourse on group actions on injective spaces and Helly
graphs, given at the CRM Montreal in June 2023. We review the basics of injective metric …
graphs, given at the CRM Montreal in June 2023. We review the basics of injective metric …