Fox-Neuwirth cells, quantum shuffle algebras, and the homology of type-\(B\) Artin groups
type: Item
instance of: scholarly article
title: Fox-Neuwirth cells, quantum shuffle algebras, and the homology of type-\(B\) Artin groups
arXiv ID: 2207.12469
author: Anh Trong Nam Hoang
published in: Mathematische Zeitschrift
publication date: 2024-03-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/2207.12469
Mathematics Subject Classification ID: 55N25
Mathematics Subject Classification ID: 55R80
Mathematics Subject Classification ID: 20J06
Mathematics Subject Classification ID: 16T05
zbMATH DE Number: 7819886
zbMATH Keywords: configuration spaces
zbMATH Keywords: twisted homology
zbMATH Keywords: shuffle algebras
zbMATH Keywords: Artin groups
MaRDI profile type: Publication
cites work: Second mod 2 homology of Artin groups
cites work: The cohomology ring of the colored braid group
cites work: Q5631231
cites work: Hochschild Homology in a Braided Tensor Category
cites work: The low-dimensional homology of finite-rank Coxeter groups
cites work: The homology of the Milnor fiber for classical braid groups.
cites work: Homology computations for complex braid groups.
cites work: Cohomology of affine Artin groups and applications
cites work: Cohomology of Artin groups of type tilde{A}_n, B_n and applications
cites work: Homology of braid groups, the Burau representation, and points on superelliptic curves over finite fields
cites work: Cohomology of braid spaces
cites work: Homology of $\Omega ^{n + 1} \Sigma ^{n + 1} X$ and $C_{n + 1} X,n > 0$
cites work: Q4263819
cites work: Arithmetic properties of the cohomology of braid groups
cites work: Q4487384
cites work: Q3836504
cites work: The Braid Groups.
cites work: Cohomology of the commutator subgroup of the braid group
cites work: Cohomologies of the group COS mod 2
cites work: Fox-Neuwirth cell structures and the cohomology of symmetric groups
cites work: Q4185034
cites work: Shuffle algebras and perverse sheaves
cites work: Spherical Hall Algebra of $$\overline{\text{Spec }(\mathbb{Z})}$$
cites work: Homologies of algebraic structures via braidings and quantum shuffles
cites work: CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.
cites work: On the distribution of Galois groups
cites work: On the Distribution of Galois Groups, II
cites work: Homology computations for complex braid groups. II
cites work: Cohomology of braid groups with nontrivial coefficients
cites work: The Steenrod algebra and its dual
cites work: Quantum groups and quantum shuffles
cites work: Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
cites work: The homotopy type of Artin groups
cites work: Cohomology of Coxeter groups.
cites work: Q3225387
cites work: Cohomologies of braid groups
cites work: Q4004217
cites work: Q3840314
cites work: Q4296949
DOI: 10.1007/S00209-024-03445-4
description: scientific article; zbMATH DE number 7819886