On locally constructible spheres and balls

Bruno Benedetti Institute of Mathematics, Freie Universität Berlin Günter M. Ziegler Institute of Mathematics, Freie Universität Berlin

Differential Geometry Mathematical Physics mathscidoc:1701.10003

Acta Mathematica, 206, (2), 205-243, 2009.6
Durhuus and Jonsson (1995) introduced the class of “locally constructible” (LC) 3-spheres and showed that there are only exponentially many combinatorial types of simplicial LC 3-spheres. Such upper bounds are crucial for the convergence of models for 3D quantum gravity.
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  title={On locally constructible spheres and balls},
  author={Bruno Benedetti, and Günter M. Ziegler},
  booktitle={Acta Mathematica},
Bruno Benedetti, and Günter M. Ziegler. On locally constructible spheres and balls. 2009. Vol. 206. In Acta Mathematica. pp.205-243. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203356424842738.
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