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The Mobius Band and the Mobius Foliation

Mathematical Physics 2008-01-15 v1 High Energy Physics - Theory K-Theory and Homology math.MP Operator Algebras

Abstract

This article presents some computations for a new topological invariant for foliations introduced some years ago by the author using techniques from noncommutative geometry, in particular the pairing between K-Theory and cyclic cohomology. The motivation came from theoretical physics, more specifically from flat vector bundles, in physics terminology from potentials which are pure gauge.

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Cite

@article{arxiv.0801.1657,
  title  = {The Mobius Band and the Mobius Foliation},
  author = {Ioannis P. Zois},
  journal= {arXiv preprint arXiv:0801.1657},
  year   = {2008}
}

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15 pages