0000000000730352

AUTHOR

Jacques Franchi

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De Rham–Hodge–Kodaira Operator on Loop Groups

1997

AbstractWe consider a based loop group Le(G) over a compact Lie groupG, endowed with its pinned Wiener measureν(the law of the Brownian bridge onG) and we shall calculate the Ricci curvature for differentialn-forms over Le(G). A type of Bochner–Weitzenböck formula for general differentialn-forms (or Shigekawa identity) will be established.

Loop (topology)Pure mathematicsIdentity (mathematics)Operator (physics)Loop groupMathematical analysisMathematics::Differential GeometryBrownian bridgeAnalysisRicci curvatureMathematicsJournal of Functional Analysis
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