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- W3083402005 abstract "Using a nonlinear version of the tautological bundle over Grasmannians, we construct a transgression map for differential characters from $M$ to the nonlinear Grasmannians $mathrm{Gr}^S(M)$ of submanifolds of $M$ of a fixed type $S$. In particular, we obtain prequantum circle bundles of the nonlinear Grasmannian endowed with the Marsden-Weinstein symplectic form. The associated Kostant-Souriau prequantum extension yields central Lie group extensions of a group of volume-preserving diffeomorphisms integrating Lichnerowicz cocycles." @default.
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- W3083402005 date "2020-09-05" @default.
- W3083402005 modified "2023-10-15" @default.
- W3083402005 title "Induced differential characters on nonlinear Graßmannians" @default.
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