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Noncommutative Geometry and Optimal Transport.

This volume contains the proceedings of the Workshop on Noncommutative Geometry and Optimal Transport, held on November 27, 2014, in Besançon, France. The distance formula in noncommutative geometry was introduced by Connes at the end of the 1980s. It is a generalization of Riemannian geodesic dist...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Martinetti, Pierre
Autres auteurs: Wallet, Jean-Christophe
Format: Électronique eBook
Langue:Inglés
Publié: Providence : American Mathematical Society, 2016.
Collection:Contemporary Mathematics.
Sujets:
Accès en ligne:Texto completo
Description
Résumé:This volume contains the proceedings of the Workshop on Noncommutative Geometry and Optimal Transport, held on November 27, 2014, in Besançon, France. The distance formula in noncommutative geometry was introduced by Connes at the end of the 1980s. It is a generalization of Riemannian geodesic distance that makes sense in a noncommutative setting, and provides an original tool to study the geometry of the space of states on an algebra. It also has an intriguing echo in physics, for it yields a metric interpretation for the Higgs field. In the 1990s, Rieffel noticed that this distance is a nonc.
Description matérielle:1 online resource (234 pages)
ISBN:9781470435608
1470435608