Use this URL to cite or link to this record in EThOS: http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.580811
Title: The duality between two-index potentials and the non-linear sigma model in field theory
Author: Zois, Ioannis
ISNI:       0000 0001 3578 0447
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 1996
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Abstract:
We interpret the generalised gauge symmetry introduced in string theory and M-Theory as a special case of Grothendieck's stability equivalence relation in the definition of the 0th K-group and we calculate the Euler number of the elliptic de Rham complex twisted by a flat connection. Then using Polyakov's classical equivalence of flat bundles with non-linear sigma models we define a new topological invariant for foliations using techniques from noncommutative geometry, in particular the Connes' pairing between K-Theory and cyclic cohomology. This new invariant classifies foliations up to Morita equivalence.
Supervisor: Tsou, Sheung Tsun Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.580811  DOI: Not available
Keywords: Geometry ; Algebraic topology ; Theoretical physics ; Foliations ; K-Theory ; Index Theory ; Global Analysis ; M-Theory ; Superstring theory
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