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Geometry, Topology and Operator Algebras: Global Analysis, Invariants and Their Significance in Theoretical Physics

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This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications. Originating from lectures presented by experts during two summer schools held in Villa de Leyva, Colombia, the book reflects the synergy between global analysis, operator algebras, and their role in modern physics.

The chapters present state-of-the-art developments on a wide range of topics: the geometry...