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math.DG2020
Normal form of equivariant maps in infinite dimensions
Tobias Diez, Gerd Rudolph
Local normal form theorems for smooth equivariant maps between infinite-dimensional manifolds are established. These normal form results are new even in finite dimensions. The proo…
math.DG2020
Induced differential characters on nonlinear Graßmannians
Tobias Diez, Bas Janssens, Karl-Hermann Neeb +1
Using a nonlinear version of the tautological bundle over Graßmannians, we construct a transgression map for differential characters from to the nonlinear Graßmannians $\mathrm…
math.DG2020★ 4 cited
Group-valued momentum maps for actions of automorphism groups
Tobias Diez, Tudor S. Ratiu
The space of smooth sections of a symplectic fiber bundle carries a natural symplectic structure. We provide a general framework to determine the momentum map for the action of the…