• Corpus ID: 14007705

Black Hole Entropy, Topological Entropy and Noncommutative Geometry

  title={Black Hole Entropy, Topological Entropy and Noncommutative Geometry},
  author={Ioannis P. Zois},
  journal={arXiv: High Energy Physics - Theory},
  • I. P. Zois
  • Published 1 April 2001
  • Mathematics
  • arXiv: High Energy Physics - Theory
Foliated manifolds are particular examples of noncommutative spaces. In this article we try to give a qualitative description of the Godbillon-Vey class and its relation on the one hand to the holonomy and on the other hand to the topological entropy of a foliation, using a remarkable theorem proved recently by G. Duminy relating these three notions in the case of codim-1 foliations. Moreover we shall investigate its possible relation with the black hole entropy adopting the superstring theory… 

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