Abstract

The recent results by Bowick and Rajeev on the relation of the geometry of DiffS1/S1 and string quantization in ℝ d are extended to a string moving on a group manifold. A new derivation of the curvature formula (−26/12m3+1/6m)δn, −m for the canonical holomorphic line bundle over DiffS1/S1 is given which clarifies the relation of that bundle with the complex line bundles over infinite-dimensional Grassmannians, studied by Pressley and Segal.

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