Volume 102, Number 6, June 2013
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||10 July 2013|
Spheres are rare
Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris-Sud - 91405 Orsay, France, EU and Perimeter Institute - Waterloo, Canada
Received: 1 April 2013
Accepted: 7 June 2013
We prove that triangulations of homology spheres in any dimension grow much slower than general triangulations. Our bound states in particular that the number of triangulations of homology spheres in 3 dimensions grows at most like the power 1/3 of the number of general triangulations.
PACS: 11.10.Gh – Renormalization / 04.60.-m – Quantum gravity
© EPLA, 2013
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