A complex Euclidean reflection group with a non-positively curved complement complex

DOI10.4171/GGD/620WikidataQ114021504 ScholiaQ114021504MaRDI QIDQ2076061

Ben Coté, Jon McCammond

Publication date: 18 February 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06624

zbMATH Keywords

non-positive curvatureSalvetti complexhyperplane complementbraid group of a group actioncomplex Euclidean reflection group

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

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Cites Work

• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
• Fundamental groups of the spaces of regular orbits of the finite unitary reflection groups of dimension 2
• Artin groups of Euclidean type
• Steinberg's theorem for crystallographic complex reflection groups
• Finite complex reflection arrangements are \(K(\pi,1)\)
• Combinatorial Stratification of Complex Arrangements
• Finite complex reflection groups
• Basic Questions on Artin-Tits groups
• Differential Equations Invariant Under Finite Reflection Groups
• Self-dual configurations and regular graphs
• Finite Unitary Reflection Groups
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