On the Classifying Space of Artin Monoids

  title={On the Classifying Space of Artin Monoids},
  author={Giovanni Paolini},
  • Giovanni Paolini
  • Published 2017
  • Mathematics
  • ABSTRACTA theorem proved by Dobrinskaya [9] shows that there is a strong connection between the K(π,1) conjecture for Artin groups and the classifying spaces of Artin monoids. More recently Ozornova obtained a different proof of Dobrinskaya’s theorem based on the application of discrete Morse theory to the standard CW model of the classifying space of an Artin monoid. In Ozornova’s work, there are hints at some deeper connections between the above-mentioned CW model and the Salvetti complex, a… CONTINUE READING

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