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Differential geometry. Global analysis --- Operator theory --- Manifolds (Mathematics) --- Index theorems --- Gauge fields (Physics) --- Théorie des opérateurs --- Variétés (Mathématiques) --- Champs de jauge (Physique) --- Atiyah-Singer index theorem --- Functional analysis --- Geometry, Differential --- Topology --- Fields, Gauge (Physics) --- Gage fields (Physics) --- Gauge theories (Physics) --- Field theory (Physics) --- Group theory --- Symmetry (Physics) --- Atiyah-Patodi-Singer index theorem --- Théorie des opérateurs --- Variétés (Mathématiques)