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Eisenstein cocycles for imaginary quadratic fields
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Eisenstein cocycles for imaginary quadratic fields
classification
math.NT
keywords
eisensteinfieldscocyclesconstructimaginaryk-groupsmapsquadratic
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We construct Eisenstein cocycles for arithmetic subgroups of GL_2 of imaginary quadratic fields valued in second K-groups of products of two CM elliptic curves. We use these to construct maps from the first homology groups of Bianchi spaces to corresponding second K-groups of ray class fields and to verify the Eisenstein property of these maps for prime-to-level Hecke operators.
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