21 citations · 129 across the 22 of their papers we have counts for
22 papers
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…
On a connection used in deformation quantization
G. Rudolph, M. Schmidt
Using natural lifting operations, we give a coordinate-free proof of the fact that the connection used by Bordemann, Neumaier and Waldmann to construct the Fedosov standard ordered…
Deformation quantization and homological reduction of a lattice gauge model
Markus J. Pflaum, Gerd Rudolph, Matthias Schmidt
For a compact Lie group we consider a lattice gauge model given by the -Hamiltonian system which consists of the cotangent bundle of a power of with its canonical symple…
Stratified structure of the observable algebra of Hamiltonian lattice gauge theory
Sebastian Knappe, Gerd Rudolph, Matthias Schmidt
We consider Kaehler quantized models whose underlying classical phase space has a stratified structure induced from the Hamiltonian action of a compact Lie group. We show how to im…
Singular symplectic cotangent bundle reduction of gauge field theory
Tobias Diez, Gerd Rudolph
We prove a theorem on singular symplectic cotangent bundle reduction in the Fréchet setting and apply it to Yang-Mills-Higgs theory with special emphasis on the Higgs sector of the…
Slice theorem and orbit type stratification in infinite dimensions
Tobias Diez, Gerd Rudolph
We establish a general slice theorem for the action of a locally convex Lie group on a locally convex manifold, which generalizes the classical slice theorem of Palais to infinite…