Three-dimensional FC Artin Groups are CAT(0)
نویسندگان
چکیده
منابع مشابه
Three dimensional FC Artin groups are CAT(0)
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 M. Elder and J. McCammond.
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The group AS is called an Artin group and relations sts . . . } {{ } ms,t terms = tst . . . } {{ } ms,t terms are called braid relations. For instance, if S = {s1, . . . , sn} with msi,sj = 3 for |i − j| = 1 and msi,sj = 2 otherwise, then the associated Artin group is the braid group. We denote by A+S the submonoid of AS generated by S. This monoid A+S has the same presentation as the group AS ...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2005
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-005-3691-9