# Induced differential characters on nonlinear Graßmannians

@article{Diez2020InducedDC, title={Induced differential characters on nonlinear Gra{\ss}mannians}, author={Tobias Diez and Bas Janssens and Karl-Hermann Neeb and Cornelia Vizman}, journal={arXiv: Differential Geometry}, year={2020} }

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… Expand

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Nonlinear flag manifolds as coadjoint orbits

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