Dehn Functions and Non-Positive Curvature
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Editorial Manager(tm) for Journal of Knot Theory and Its Ramifications Manuscript Draft Manuscript Number: Title: CAT(0) STRUCTURES AND SUSPENDED ALTERNATING LINKS
We consider complements of links in the suspension of an orientable surface S of genus g > 0, and show that their fundamental groups naturally admit presentations which are analogues of Dehn presentations of classical link complements. For certain links, we show that they admit canonical cubings of non-positive curvature, and that certain groups admitting Dehn-like presentations contain closed ...
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The k-dimensional Dehn (or isoperimetric) function of a group bounds the volume of efficient ball-fillings of k-spheres mapped into k-connected spaces on which the group acts properly and cocompactly; the bound is given as a function of the volume of the sphere. We advance significantly the observed range of behavior for such functions. First, to each non-negative integer matrix P and positive ...
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تاریخ انتشار 2008