Introduction to stability conditions and its relation to the K(π,1) conjecture for Artin groups

2024/04/17 by Edmund Heng, Heng, Edmund
Mathematics · #18G80 #20F36 #20F55 #55P20 #Category Theory (math.CT) #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2404.11562

openalex publication_date 2024/04/17 · openalex created_date 2024/04/19 · openalex updated_date 2026/07/28

Abstract

We give a brief introduction to the relationship between Bridgeland stability conditions and the K(π,1) conjecture for Artin groups. These notes have been written as pre-reading for the MFO mini-workshop 2405a: Artin groups meet triangulated categories.

Related

• Mini-Worskhop: Artin Groups meet Triangulated Categories
• K(π,1) conjecture for Artin groups
• The K(π, 1) conjecture for affine Artin groups
• Stability conditions and Artin--Tits groups
• Labeled four cycles and the K(π,1)-conjecture for Artin groups