@phdthesis{Reichert2017,
  author    = {Reichert, Thorsten},
  title     = {Classification and Reduction of Equivariant Star Products on Symplectic Manifolds},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-153623},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2017},
  abstract  = {This doctoral thesis provides a classification of equivariant star products (star products together with quantum momentum maps) in terms of equivariant de Rham cohomology. This classification result is then used to construct an analogon of the Kirwan map from which one can directly obtain the characteristic class of certain reduced star products on Marsden-Weinstein reduced symplectic manifolds from the equivariant characteristic class of their corresponding unreduced equivariant star product. From the surjectivity of this map one can conclude that every star product on Marsden-Weinstein reduced symplectic manifolds can (up to equivalence) be obtained as a reduced equivariant star product.},
  subject      = {Homologische Algebra},
  language  = {en}
}