Three dimensional FC Artin groups are CAT(0)
Bell, Robert William, II
Year
2003
Advisor
Charney, Ruth M.
Abstract
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.
Thesis
Bell.Robert.William.II.pdf
