Discrete Morse theory and a reformulation of theK(π,1)-conjecture

DOI10.1080/00927872.2016.1226852zbMath1397.20039arXiv1309.1337OpenAlexW2964108123MaRDI QIDQ2985000

Viktoriya Ozornova

Publication date: 12 May 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.1337

zbMATH Keywords

Artin groupsdiscrete Morse theoryGarside theory\(K(\pi,1)\)-conjectureclassifying space of a monoid

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Topological methods in group theory (57M07) Simplicial sets and complexes in algebraic topology (55U10) Connections of semigroups with homological algebra and category theory (20M50)

Related Items

A Deligne complex for Artin monoids ⋮ Weighted sheaves and homology of Artin groups ⋮ \(K(\pi,1)\) conjecture for Artin groups. ⋮ Proof of the \(K(\pi,1)\) conjecture for affine Artin groups

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