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arXiv · 1411.5705

A K-theoretic interpretation of real Deligne cohomology

J. P. Pridham
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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. 2014-11-20. A K-theoretic interpretation of real Deligne cohomology. https://arxiv.org/abs/1411.5705

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