Configuration Lie groupoids and orbifold braid groups

DOI10.1016/j.bulsci.2021.103028zbMath1491.22001arXiv2006.07106OpenAlexW3035085693WikidataQ115359937 ScholiaQ115359937MaRDI QIDQ2046110

Sayed K. Roushon

Publication date: 17 August 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07106

zbMATH Keywords

configuration spaceLie groupoidArtin groupFarrell-Jones isomorphism conjectureorbifold braid grouporbifold fibration

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Topological groupoids (including differentiable and Lie groupoids) (22A22) Topology and geometry of orbifolds (57R18)

Related Items

\(k\)-almost-quasifibrations, Poly-freeness of Artin groups and the Farrell-Jones conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Basic results on braid groups.
• Non-positively curved aspects of Artin groups of finite type
• Homology of iterated semidirect products of free groups
• Artin groups of Euclidean type
• Poly-freeness of even Artin groups of FC type
• Helly meets Garside and Artin
• Poly-freeness of Artin groups and the Farrell-Jones conjecture
• Braid groups of imprimitive complex reflection groups.
• Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
• On torsion-free groups with infinitely many ends
• The geometry of iterated loop spaces
• Riemannian metrics on differentiable stacks
• Theory of braids
• Asymptotic dimension of discrete groups
• Braid pictures for Artin groups
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• The Farrell–Jones conjecture for normally poly-free groups
• The Geometries of 3-Manifolds
• Configuration Spaces.
• The Farrell–Jones Conjecture for Hyperbolic-by-Cyclic Groups