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Computational Ergodicity of $s^4$

High Energy Physics - Lattice 2009-10-22 v1 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

It is known that there are four-manifolds which are not algorithmically recognizable. This implies that there exist triangulations of these manifolds which are separated by large barriers from the point of view of the computer algorithm. We have not observed these barriers for triangulations of S4S^4.

Keywords

Cite

@article{arxiv.hep-lat/9411008,
  title  = {Computational Ergodicity of $s^4$},
  author = {J. Ambjorn and J. Jurkiewicz},
  journal= {arXiv preprint arXiv:hep-lat/9411008},
  year   = {2009}
}

Comments

9 p.+4 figures (uuencoded ps-files). Latex+epsf