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Three dimensional FC Artin groups are CAT(0)

Posted on:2004-03-16Degree:Ph.DType:Dissertation
University:The Ohio State UniversityCandidate:Bell, Robert William, IIFull Text:PDF
GTID:1460390011476923Subject:Mathematics
Abstract/Summary:
Following earlier work of T. Brady, we construct locally CAT(0) classifying spaces for those Artin groups which are three dimensional and which satisfy the FC (flag complex) condition. The approach is to verify the "link condition" by applying gluing arguments for CAT(1) spaces and by using curvature testing techniques as suggested by the work of M. Elder and J. McCammond.
Keywords/Search Tags:Cat
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