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2 “...This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative...”

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5 “... Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications...”

6 Table of Contents: “... positive scalar curvature, Misha Gromov -- Geometry and the Quantum, Alain Connes -- What Every Physicist...”

7 “... of Alain Connes’ “noncommutative geometry” and the operator-algebraic theory of “quantum groups...”

8 “...” by the Fields medalist Alain Connes). It has branched out in several sub-disciplines and made contact with other...”

9 Table of Contents: “... of the Art of Alain Connes’ Version of the Standard Model -- Supersymmetric Extension of Quantum Scalar Field...”