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Classification of singular points in the polarization field of the cosmic microwave background and eigenvectors of the Stokes matrix

A. D. DolgovTheoretical Astrophysics Center, DK-2100, Copenhagen, DenmarkA. G. DoroshkevichTheoretical Astrophysics Center, DK-2100, Copenhagen, DenmarkD. I. NovikovAstro-Space Center of Lebedev Physical Institute, Russian Academy of Sciences, 117924, Moscow, RussiaI. D. NovikovTheoretical Astrophysics Center, DK-2100, Copenhagen, Denmark
ABI

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An analysis is made of the singularities of the polarization field of the cosmic microwave background, where the polarization is equal to zero. It is found that the classification of the singular points differs from the usual three types known in ordinary differential equations. The new statistical properties of the polarization field are discussed, and new methods to detect the presence of primordial tensor perturbations are indicated.

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