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dc.rights.licenseCC-BY-NC-ND
dc.contributor.advisorCornelissen, Prof dr G.L.M.
dc.contributor.advisorCrainic, Prof dr MN
dc.contributor.authorKluck, F.V.
dc.date.accessioned2014-03-25T18:00:38Z
dc.date.available2014-03-25T18:00:38Z
dc.date.issued2014
dc.identifier.urihttps://studenttheses.uu.nl/handle/20.500.12932/16414
dc.description.abstractIn 1996, Alain Connes introduced the spectral triple, which encodes the information of a spin manifold in a way that allows for a noncommutative generalization. Before that, in 1981, Misha Gromov introduced a metric on the space of compact metric spaces modulo isometry, called the Gromov-Hausdorff distance. With these two ideas in mind, Gunther Cornelissen and Bram Mesland are working on a metric space of spectral triples. They use the morphism between spectral triples introduced in 2009 by Bram Mesland, called a correspondence, and define the length of a correspondence. The distance between two spectral triples is then obtained as the infimum of the lengths of the correspondences between them. In my thesis, I review the theory needed to understand this metric, and give a concrete example of a correspondence.
dc.description.sponsorshipUtrecht University
dc.format.extent462210
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.titleA metric in the space of spectral triples
dc.type.contentMaster Thesis
dc.rights.accessrightsOpen Access
dc.subject.keywordsspectral triple; noncommutative geometry; correspondences
dc.subject.courseuuMathematical Sciences


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