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The completion of the space of Lagrangian submanifolds for the spectral metric

By Claude Viterbo

Appears in collection : Not Only Scalar Curvature Seminar

We shall define the spectral metric on the space of Lagrangians, and study the completion of the space of Lagrangian for the spectral metric. Understanding this completion both topologically and geometrically is connected to several questions in symplectic topology, but also - through quantization - to sheaf theory.

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