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Normal form of equivariant maps in infinite dimensions
2021
Annals of Global Analysis and Geometry
AbstractLocal normal form theorems for smooth equivariant maps between infinite-dimensional manifolds are established. These normal form results are new even in finite dimensions. The proof is inspired by the Lyapunov–Schmidt reduction for dynamical systems and by the Kuranishi method for moduli spaces. It uses a slice theorem for Fréchet manifolds as the main technical tool. As a consequence, the abstract moduli space obtained by factorizing a level set of the equivariant map with respect to
doi:10.1007/s10455-021-09777-2
fatcat:eahhtmfjjrdsbm7jv4lw64mhiu