A K-theoretic interpretation of real Deligne cohomology

Published 20 Nov 2014 in math.KT and math.AG | (1411.5705v5)

Abstract: We show that real Deligne cohomology of a complex manifold arises locally as a topological vector space completion of the analytic Lie groupoid of holomorphic vector bundles. Thus Beilinson's regulator arises naturally as a comparison map between $K$-theory groups of different types.

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J. P. Pridham

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