Proof of the \(K(\pi,1)\) conjecture for affine Artin groups

DOI10.1007/s00222-020-01016-yOpenAlexW2966500286WikidataQ123282082 ScholiaQ123282082MaRDI QIDQ2030394

Mario Salvetti, Giovanni Paolini

Publication date: 7 June 2021

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11795

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (15)

Orbit equivalence rigidity of irreducible actions of right-angled Artin groups ⋮ Counting chains in the noncrossing partition lattice via the \(W\)-Laplacian ⋮ Factoring isometries of quadratic spaces into reflections ⋮ A Deligne complex for Artin monoids ⋮ On the growth of Artin-Tits monoids and the partial theta function ⋮ Birth of Garside groups in memory of Patrick Dehornoy ⋮ Stability conditions for contraction algebras ⋮ Virtual Artin groups ⋮ On the homology of the noncrossing partition lattice and the Milnor fibre ⋮ Modular flats of oriented matroids and poset quasi-fibrations ⋮ Left regular representations of Garside categories I. C^*-algebras and groupoids ⋮ Reflection factorizations and quasi-Coxeter elements ⋮ On the Σ$\Sigma$‐invariants of Artin groups satisfying the K(π,1)$K(\pi,1)$‐conjecture ⋮ The twisted homology of simplicial set ⋮ Euclidean Artin-Tits groups are acylindrically hyperbolic

Uses Software

• GitHub

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