1201.1875 (Peter Kramer)
Peter Kramer
Harmonic analysis is a tool to infer cosmic topology from the measured
astrophysical cosmic microwave background CMB radiation. For overall positive
curvature, Platonic spherical manifolds are candidates for this analysis. We
combine the specific point symmetry of the Platonic manifolds with their deck
transformations. This analysis in topology leads from manifolds to orbifolds.
We discuss the deck transformations of the orbifolds and give basis functions
for the harmonic analysis as linear combinations of Wigner polynomials on the
3-sphere. They provide new tools for detecting cosmic topology from the CMB
radiation.
View original:
http://arxiv.org/abs/1201.1875
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