The Borel and genuine C2-equivariant Adams spectral sequences
Abstract
We find out some relations between the classical Adams spectral sequences for stunted real projective spectra, the Borel C2-equivariant Adams spectral sequence for the 2-completed sphere, and the genuine C2-equivariant Adams spectral sequence for the 2-completed sphere. This allows us to understand the genuine C2-equivariant Adams spectral sequence from the Borel Adams spectral sequences. We show that the Borel Adams spectral sequence is computable as a classical Adams spectral sequence.
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