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- W4287671719 abstract "Using a nonlinear version of the tautological bundle over Gra{ss}mannians, we construct a transgression map for differential characters from $M$ to the nonlinear Gra{ss}mannians $mathrm{Gr}^S(M)$ of submanifolds of $M$ of a fixed type $S$. In particular, we obtain prequantum circle bundles of the nonlinear Grass{}mannian 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.
- W4287671719 created "2022-07-25" @default.
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- W4287671719 date "2020-09-05" @default.
- W4287671719 modified "2023-10-17" @default.
- W4287671719 title "Induced differential characters on nonlinear Gra{ss}mannians" @default.
- W4287671719 doi "https://doi.org/10.48550/arxiv.2009.02556" @default.
- W4287671719 hasPublicationYear "2020" @default.
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