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The Mobius Band and the Mobius Foliation

2008/01/10 by Ioannis P. Zois, Zois, Ioannis P.
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #hep-th #math-ph #math.KT #math.MP #math.OA

paper · pdf · doi:10.48550/arxiv.0801.1657

15 pages

arxiv created 2008/01/10 · openalex publication_date 2008/01/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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