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Constraints on the Topology of the Universe from the<i>Wilkinson Microwave Anisotropy Probe</i>First‐Year Sky Maps

Constraints on the Topology of the Universe from the<i>Wilkinson Microwave Anisotropy Probe</i>First‐Year Sky Maps

We compute the covariance expected between the spherical harmonic coefficients $a_{\ell m}$ of the cosmic microwave temperature anisotropy if the universe had a compact topology. For fundamental cell size smaller than the distance to the decoupling surface, off-diagonal components carry more information than the diagonal components (the power spectrum). We …