Braids, Posets and Orthoschemes

  • T. BRADY AND J. MCCAMMOND
  • Published 2009

Abstract

In this article we study the curvature properties of the order complex of a graded poset under a metric that we call the “orthoscheme metric”. In addition to other results, we characterize which rank 4 posets have CAT(0) orthoscheme complexes and by applying this theorem to standard posets and complexes associated with four-generator Artin groups, we are… (More)

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