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Three-dimensional FC Artin Groups are CAT(0)

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Abstract

Building upon 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 the curvature testing techniques of Elder and McCammond [Expositio Math. 11(1) (2002), 143–158].

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Authors and Affiliations

  1. Department of Mathematics, University of Utah, 155 S 1400E, Salt Lake City, UT, 84106, U.S.A.

    Robert W. Bell

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  1. Robert W. Bell
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Correspondence to Robert W. Bell.

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Mathematics Subject Classifications (2000). 20F36, 20F65

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Bell, R.W. Three-dimensional FC Artin Groups are CAT(0). Geom Dedicata 113, 21–53 (2005). https://doi.org/10.1007/s10711-005-3691-9

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