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A C ∗ -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., Hack, T. P., & Schenkel, A. (2014). A C ∗ -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds. Communications in Mathematical Physics, 332(1), 477-504. https://doi.org/10.1007/s00220-014-2100-3

© Springer-Verlag Berlin Heidelberg 2014. The aim of this work is to complete our program on the quantization of connections on arbitrary principal U(1)-bundles over globally hyperbolic Lorentzian manifolds. In particular, we show that one can assig... Read More about A C ∗ -algebra for quantized principal U(1)-connections on globally hyperbolic lorentzian manifolds.

Homogeneous cosmologies as group field theory condensates (2014)
Journal Article
Gielen, S., Oriti, D., & Sindoni, L. (2014). Homogeneous cosmologies as group field theory condensates. Journal of High Energy Physics, 2014(6), Article 013. https://doi.org/10.1007/jhep06%282014%29013

We give a general procedure, in the group field theory (GFT) formalism for quantum gravity, for constructing states that describe macroscopic, spatially homogeneous universes. These states are close to coherent (condensate) states used in the descrip... Read More about Homogeneous cosmologies as group field theory condensates.

Foundations for an iteration theory of entire quasiregular maps (2014)
Journal Article
Bergweiler, W., & NICKS, D. (2014). Foundations for an iteration theory of entire quasiregular maps. Israel Journal of Mathematics, 201(1), 147-184. https://doi.org/10.1007/s11856-014-1081-4

The Fatou-Julia iteration theory of rational functions has been extended to uniformly quasiregular mappings in higher dimension by various authors, and recently some results of Fatou-Julia type have also been obtained for non-uniformly quasiregular m... Read More about Foundations for an iteration theory of entire quasiregular maps.