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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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Martinetti, Pierre
Other Authors: Wallet, Jean-Christophe
Format: Electronic eBook
Language:Inglés
Published: Providence : American Mathematical Society, 2016.
Series:Contemporary Mathematics.
Subjects:
Online Access:Texto completo
Description
Summary: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.
Physical Description:1 online resource (234 pages)
ISBN:9781470435608
1470435608