Genus statistics on CMB polarization maps and cosmological parameters degeneracy

Details Genus statistics on CMB polarization maps and cosmological parameters degeneracy Genus statistics on CMB polarization maps and cosmological parameters degeneracy

1998-12-29

arxiv.org/abs/astro-ph/9812462v1

Astronomy and Astrophysics

Astrophysics

22 pages in LaTex format, 4 figures in a single ps file Accepted at New Astronomy

Scientific paper

10.1016/S1384-1076(99)00002-0

We applay the genus statistics to simulated CMB polarization maps, constructed from the secondary-ionization cosmological models in experimental situations comparable to those of forthcoming space experiments. We find that both the cosmic baryon density and the spectral index of density perturbations are strongly anicorrelated to the reionization redshift. Using the Fisher matrix approach we show that the accuracy on the spectral index and optical depth to the last scattering are improved in the case of genus statistics when comparing with the accuracy obtained from the standard power spectrum statistics.

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