The order of curvature operators on loop groups
classification
🧮 math.DG
keywords
curvaturegroupsloopordercomputeconnectiondependingexact
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For loop groups (free and based), we compute the exact order of the curvature operator of the Levi-Civita connection depending on a Sobolev space parameter. This extends results of Freed and Maeda-Rosenberg-Torres.
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